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Finding the Third Proportional to 161,202 and 248,565.75

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Solution

The third proportional to 161,202 and 248,565.75 is: 383,276.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,202 : 248,565.75 = 248,565.75 : x
  2. Step 2: Convert to fraction form
    161,202/248,565.75 = 248,565.75/x
  3. Step 3: Cross multiply
    161,202x = 248,565.75 × 248,565.75
  4. Step 4: Simplify right side
    161,202x = 61,784,932,073.06
  5. Step 5: Solve for x
    x = 61,784,932,073.06/161,202
  6. Step 6: Final answer
    x = 383,276.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.