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Finding the Third Proportional to 159,688 and 266,136

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Solution

The third proportional to 159,688 and 266,136 is: 443,542.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,688 : 266,136 = 266,136 : x
  2. Step 2: Convert to fraction form
    159,688/266,136 = 266,136/x
  3. Step 3: Cross multiply
    159,688x = 266,136 × 266,136
  4. Step 4: Simplify right side
    159,688x = 70,828,370,496
  5. Step 5: Solve for x
    x = 70,828,370,496/159,688
  6. Step 6: Final answer
    x = 443,542.22

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.