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Finding the Third Proportional to 141,964 and 310,424

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Solution

The third proportional to 141,964 and 310,424 is: 678,785.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,964 : 310,424 = 310,424 : x
  2. Step 2: Convert to fraction form
    141,964/310,424 = 310,424/x
  3. Step 3: Cross multiply
    141,964x = 310,424 × 310,424
  4. Step 4: Simplify right side
    141,964x = 96,363,059,776
  5. Step 5: Solve for x
    x = 96,363,059,776/141,964
  6. Step 6: Final answer
    x = 678,785.18

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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.