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Finding the Third Proportional to 138,136 and 297,526

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Solution

The third proportional to 138,136 and 297,526 is: 640,830.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,136 : 297,526 = 297,526 : x
  2. Step 2: Convert to fraction form
    138,136/297,526 = 297,526/x
  3. Step 3: Cross multiply
    138,136x = 297,526 × 297,526
  4. Step 4: Simplify right side
    138,136x = 88,521,720,676
  5. Step 5: Solve for x
    x = 88,521,720,676/138,136
  6. Step 6: Final answer
    x = 640,830.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.