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Finding the Third Proportional to 141,534 and 309,294

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Solution

The third proportional to 141,534 and 309,294 is: 675,899.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,534 : 309,294 = 309,294 : x
  2. Step 2: Convert to fraction form
    141,534/309,294 = 309,294/x
  3. Step 3: Cross multiply
    141,534x = 309,294 × 309,294
  4. Step 4: Simplify right side
    141,534x = 95,662,778,436
  5. Step 5: Solve for x
    x = 95,662,778,436/141,534
  6. Step 6: Final answer
    x = 675,899.63

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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.