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Finding the Third Proportional to 243,552 and 382,160

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Solution

The third proportional to 243,552 and 382,160 is: 599,651.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,552 : 382,160 = 382,160 : x
  2. Step 2: Convert to fraction form
    243,552/382,160 = 382,160/x
  3. Step 3: Cross multiply
    243,552x = 382,160 × 382,160
  4. Step 4: Simplify right side
    243,552x = 146,046,265,600
  5. Step 5: Solve for x
    x = 146,046,265,600/243,552
  6. Step 6: Final answer
    x = 599,651.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.