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Finding the Third Proportional to 160,298.50 and 250,152.50

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Solution

The third proportional to 160,298.50 and 250,152.50 is: 390,373.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,298.50 : 250,152.50 = 250,152.50 : x
  2. Step 2: Convert to fraction form
    160,298.50/250,152.50 = 250,152.50/x
  3. Step 3: Cross multiply
    160,298.50x = 250,152.50 × 250,152.50
  4. Step 4: Simplify right side
    160,298.50x = 62,576,273,256.25
  5. Step 5: Solve for x
    x = 62,576,273,256.25/160,298.50
  6. Step 6: Final answer
    x = 390,373.42

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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.