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Finding the Third Proportional to 142,766 and 310,136

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Solution

The third proportional to 142,766 and 310,136 is: 673,720.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,766 : 310,136 = 310,136 : x
  2. Step 2: Convert to fraction form
    142,766/310,136 = 310,136/x
  3. Step 3: Cross multiply
    142,766x = 310,136 × 310,136
  4. Step 4: Simplify right side
    142,766x = 96,184,338,496
  5. Step 5: Solve for x
    x = 96,184,338,496/142,766
  6. Step 6: Final answer
    x = 673,720.20

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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.