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Finding the Third Proportional to 188,499 and 403,607

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Solution

The third proportional to 188,499 and 403,607 is: 864,188.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,499 : 403,607 = 403,607 : x
  2. Step 2: Convert to fraction form
    188,499/403,607 = 403,607/x
  3. Step 3: Cross multiply
    188,499x = 403,607 × 403,607
  4. Step 4: Simplify right side
    188,499x = 162,898,610,449
  5. Step 5: Solve for x
    x = 162,898,610,449/188,499
  6. Step 6: Final answer
    x = 864,188.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.