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Finding the Third Proportional to 141,943 and 310,010

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Solution

The third proportional to 141,943 and 310,010 is: 677,076.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,943 : 310,010 = 310,010 : x
  2. Step 2: Convert to fraction form
    141,943/310,010 = 310,010/x
  3. Step 3: Cross multiply
    141,943x = 310,010 × 310,010
  4. Step 4: Simplify right side
    141,943x = 96,106,200,100
  5. Step 5: Solve for x
    x = 96,106,200,100/141,943
  6. Step 6: Final answer
    x = 677,076.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.