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Finding the Third Proportional to 178,424 and 392,335

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Solution

The third proportional to 178,424 and 392,335 is: 862,702.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,424 : 392,335 = 392,335 : x
  2. Step 2: Convert to fraction form
    178,424/392,335 = 392,335/x
  3. Step 3: Cross multiply
    178,424x = 392,335 × 392,335
  4. Step 4: Simplify right side
    178,424x = 153,926,752,225
  5. Step 5: Solve for x
    x = 153,926,752,225/178,424
  6. Step 6: Final answer
    x = 862,702.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.