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Finding the Third Proportional to 178,468 and 286,998

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Solution

The third proportional to 178,468 and 286,998 is: 461,527.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,468 : 286,998 = 286,998 : x
  2. Step 2: Convert to fraction form
    178,468/286,998 = 286,998/x
  3. Step 3: Cross multiply
    178,468x = 286,998 × 286,998
  4. Step 4: Simplify right side
    178,468x = 82,367,852,004
  5. Step 5: Solve for x
    x = 82,367,852,004/178,468
  6. Step 6: Final answer
    x = 461,527.29

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.