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Finding the Third Proportional to 141,020 and 307,762

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Solution

The third proportional to 141,020 and 307,762 is: 671,659.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,020 : 307,762 = 307,762 : x
  2. Step 2: Convert to fraction form
    141,020/307,762 = 307,762/x
  3. Step 3: Cross multiply
    141,020x = 307,762 × 307,762
  4. Step 4: Simplify right side
    141,020x = 94,717,448,644
  5. Step 5: Solve for x
    x = 94,717,448,644/141,020
  6. Step 6: Final answer
    x = 671,659.68

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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.