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Finding the Third Proportional to 141,520 and 307,592

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Solution

The third proportional to 141,520 and 307,592 is: 668,547.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,520 : 307,592 = 307,592 : x
  2. Step 2: Convert to fraction form
    141,520/307,592 = 307,592/x
  3. Step 3: Cross multiply
    141,520x = 307,592 × 307,592
  4. Step 4: Simplify right side
    141,520x = 94,612,838,464
  5. Step 5: Solve for x
    x = 94,612,838,464/141,520
  6. Step 6: Final answer
    x = 668,547.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.