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Finding the Third Proportional to 161,617.50 and 254,904.75

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Solution

The third proportional to 161,617.50 and 254,904.75 is: 402,038.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,617.50 : 254,904.75 = 254,904.75 : x
  2. Step 2: Convert to fraction form
    161,617.50/254,904.75 = 254,904.75/x
  3. Step 3: Cross multiply
    161,617.50x = 254,904.75 × 254,904.75
  4. Step 4: Simplify right side
    161,617.50x = 64,976,431,572.56
  5. Step 5: Solve for x
    x = 64,976,431,572.56/161,617.50
  6. Step 6: Final answer
    x = 402,038.34

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.