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Finding the Third Proportional to 141,332 and 307,574

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Solution

The third proportional to 141,332 and 307,574 is: 669,358.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,332 : 307,574 = 307,574 : x
  2. Step 2: Convert to fraction form
    141,332/307,574 = 307,574/x
  3. Step 3: Cross multiply
    141,332x = 307,574 × 307,574
  4. Step 4: Simplify right side
    141,332x = 94,601,765,476
  5. Step 5: Solve for x
    x = 94,601,765,476/141,332
  6. Step 6: Final answer
    x = 669,358.43

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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.