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Finding the Third Proportional to 138,798 and 297,306

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Solution

The third proportional to 138,798 and 297,306 is: 636,830.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,798 : 297,306 = 297,306 : x
  2. Step 2: Convert to fraction form
    138,798/297,306 = 297,306/x
  3. Step 3: Cross multiply
    138,798x = 297,306 × 297,306
  4. Step 4: Simplify right side
    138,798x = 88,390,857,636
  5. Step 5: Solve for x
    x = 88,390,857,636/138,798
  6. Step 6: Final answer
    x = 636,830.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.