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Finding the Third Proportional to 141,886.69 and 310,407.19

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Solution

The third proportional to 141,886.69 and 310,407.19 is: 679,081.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,886.69 : 310,407.19 = 310,407.19 : x
  2. Step 2: Convert to fraction form
    141,886.69/310,407.19 = 310,407.19/x
  3. Step 3: Cross multiply
    141,886.69x = 310,407.19 × 310,407.19
  4. Step 4: Simplify right side
    141,886.69x = 96,352,622,051.66
  5. Step 5: Solve for x
    x = 96,352,622,051.66/141,886.69
  6. Step 6: Final answer
    x = 679,081.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.