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Finding the Third Proportional to 141,017 and 307,758

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Solution

The third proportional to 141,017 and 307,758 is: 671,656.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,017 : 307,758 = 307,758 : x
  2. Step 2: Convert to fraction form
    141,017/307,758 = 307,758/x
  3. Step 3: Cross multiply
    141,017x = 307,758 × 307,758
  4. Step 4: Simplify right side
    141,017x = 94,714,986,564
  5. Step 5: Solve for x
    x = 94,714,986,564/141,017
  6. Step 6: Final answer
    x = 671,656.51

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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.