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Finding the Third Proportional to 178,798 and 372,294

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Solution

The third proportional to 178,798 and 372,294 is: 775,192.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,798 : 372,294 = 372,294 : x
  2. Step 2: Convert to fraction form
    178,798/372,294 = 372,294/x
  3. Step 3: Cross multiply
    178,798x = 372,294 × 372,294
  4. Step 4: Simplify right side
    178,798x = 138,602,822,436
  5. Step 5: Solve for x
    x = 138,602,822,436/178,798
  6. Step 6: Final answer
    x = 775,192.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.