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Finding the Third Proportional to 146,136 and 314,448

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Solution

The third proportional to 146,136 and 314,448 is: 676,613.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,136 : 314,448 = 314,448 : x
  2. Step 2: Convert to fraction form
    146,136/314,448 = 314,448/x
  3. Step 3: Cross multiply
    146,136x = 314,448 × 314,448
  4. Step 4: Simplify right side
    146,136x = 98,877,544,704
  5. Step 5: Solve for x
    x = 98,877,544,704/146,136
  6. Step 6: Final answer
    x = 676,613.19

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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.