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Finding the Third Proportional to 160,559 and 250,032.50

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Solution

The third proportional to 160,559 and 250,032.50 is: 389,366.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,559 : 250,032.50 = 250,032.50 : x
  2. Step 2: Convert to fraction form
    160,559/250,032.50 = 250,032.50/x
  3. Step 3: Cross multiply
    160,559x = 250,032.50 × 250,032.50
  4. Step 4: Simplify right side
    160,559x = 62,516,251,056.25
  5. Step 5: Solve for x
    x = 62,516,251,056.25/160,559
  6. Step 6: Final answer
    x = 389,366.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.