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Finding the Third Proportional to 160,825.13 and 235,864.50

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Solution

The third proportional to 160,825.13 and 235,864.50 is: 345,916.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,825.13 : 235,864.50 = 235,864.50 : x
  2. Step 2: Convert to fraction form
    160,825.13/235,864.50 = 235,864.50/x
  3. Step 3: Cross multiply
    160,825.13x = 235,864.50 × 235,864.50
  4. Step 4: Simplify right side
    160,825.13x = 55,632,062,360.25
  5. Step 5: Solve for x
    x = 55,632,062,360.25/160,825.13
  6. Step 6: Final answer
    x = 345,916.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.