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Finding the Third Proportional to 141,656 and 309,070

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Solution

The third proportional to 141,656 and 309,070 is: 674,339.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,656 : 309,070 = 309,070 : x
  2. Step 2: Convert to fraction form
    141,656/309,070 = 309,070/x
  3. Step 3: Cross multiply
    141,656x = 309,070 × 309,070
  4. Step 4: Simplify right side
    141,656x = 95,524,264,900
  5. Step 5: Solve for x
    x = 95,524,264,900/141,656
  6. Step 6: Final answer
    x = 674,339.70

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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.