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Finding the Third Proportional to 177,460.95 and 385,023.06

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Solution

The third proportional to 177,460.95 and 385,023.06 is: 835,354.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,460.95 : 385,023.06 = 385,023.06 : x
  2. Step 2: Convert to fraction form
    177,460.95/385,023.06 = 385,023.06/x
  3. Step 3: Cross multiply
    177,460.95x = 385,023.06 × 385,023.06
  4. Step 4: Simplify right side
    177,460.95x = 148,242,755,648.89
  5. Step 5: Solve for x
    x = 148,242,755,648.89/177,460.95
  6. Step 6: Final answer
    x = 835,354.21

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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.