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Finding the Third Proportional to 176,553 and 392,335.75

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Solution

The third proportional to 176,553 and 392,335.75 is: 871,847.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,553 : 392,335.75 = 392,335.75 : x
  2. Step 2: Convert to fraction form
    176,553/392,335.75 = 392,335.75/x
  3. Step 3: Cross multiply
    176,553x = 392,335.75 × 392,335.75
  4. Step 4: Simplify right side
    176,553x = 153,927,340,728.06
  5. Step 5: Solve for x
    x = 153,927,340,728.06/176,553
  6. Step 6: Final answer
    x = 871,847.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.