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Finding the Third Proportional to 134,136.28 and 291,569.06

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Solution

The third proportional to 134,136.28 and 291,569.06 is: 633,777.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,136.28 : 291,569.06 = 291,569.06 : x
  2. Step 2: Convert to fraction form
    134,136.28/291,569.06 = 291,569.06/x
  3. Step 3: Cross multiply
    134,136.28x = 291,569.06 × 291,569.06
  4. Step 4: Simplify right side
    134,136.28x = 85,012,518,207.13
  5. Step 5: Solve for x
    x = 85,012,518,207.13/134,136.28
  6. Step 6: Final answer
    x = 633,777.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.