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Finding the Third Proportional to 88,064 and 207,788

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Solution

The third proportional to 88,064 and 207,788 is: 490,278.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,064 : 207,788 = 207,788 : x
  2. Step 2: Convert to fraction form
    88,064/207,788 = 207,788/x
  3. Step 3: Cross multiply
    88,064x = 207,788 × 207,788
  4. Step 4: Simplify right side
    88,064x = 43,175,852,944
  5. Step 5: Solve for x
    x = 43,175,852,944/88,064
  6. Step 6: Final answer
    x = 490,278.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.