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Finding the Third Proportional to 176,548 and 392,326

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Solution

The third proportional to 176,548 and 392,326 is: 871,829.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,548 : 392,326 = 392,326 : x
  2. Step 2: Convert to fraction form
    176,548/392,326 = 392,326/x
  3. Step 3: Cross multiply
    176,548x = 392,326 × 392,326
  4. Step 4: Simplify right side
    176,548x = 153,919,690,276
  5. Step 5: Solve for x
    x = 153,919,690,276/176,548
  6. Step 6: Final answer
    x = 871,829.14

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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.