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Finding the Third Proportional to 181,232.75 and 392,332

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Solution

The third proportional to 181,232.75 and 392,332 is: 849,318.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,232.75 : 392,332 = 392,332 : x
  2. Step 2: Convert to fraction form
    181,232.75/392,332 = 392,332/x
  3. Step 3: Cross multiply
    181,232.75x = 392,332 × 392,332
  4. Step 4: Simplify right side
    181,232.75x = 153,924,398,224
  5. Step 5: Solve for x
    x = 153,924,398,224/181,232.75
  6. Step 6: Final answer
    x = 849,318.89

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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.