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Finding the Third Proportional to 141,331 and 304,817

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Solution

The third proportional to 141,331 and 304,817 is: 657,417.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,331 : 304,817 = 304,817 : x
  2. Step 2: Convert to fraction form
    141,331/304,817 = 304,817/x
  3. Step 3: Cross multiply
    141,331x = 304,817 × 304,817
  4. Step 4: Simplify right side
    141,331x = 92,913,403,489
  5. Step 5: Solve for x
    x = 92,913,403,489/141,331
  6. Step 6: Final answer
    x = 657,417.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.