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Finding the Third Proportional to 176,564 and 392,357

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Solution

The third proportional to 176,564 and 392,357 is: 871,887.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,564 : 392,357 = 392,357 : x
  2. Step 2: Convert to fraction form
    176,564/392,357 = 392,357/x
  3. Step 3: Cross multiply
    176,564x = 392,357 × 392,357
  4. Step 4: Simplify right side
    176,564x = 153,944,015,449
  5. Step 5: Solve for x
    x = 153,944,015,449/176,564
  6. Step 6: Final answer
    x = 871,887.90

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.