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Finding the Third Proportional to 177,472 and 384,887.50

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Solution

The third proportional to 177,472 and 384,887.50 is: 834,714.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,472 : 384,887.50 = 384,887.50 : x
  2. Step 2: Convert to fraction form
    177,472/384,887.50 = 384,887.50/x
  3. Step 3: Cross multiply
    177,472x = 384,887.50 × 384,887.50
  4. Step 4: Simplify right side
    177,472x = 148,138,387,656.25
  5. Step 5: Solve for x
    x = 148,138,387,656.25/177,472
  6. Step 6: Final answer
    x = 834,714.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.