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Finding the Third Proportional to 160,507.43 and 248,875.90

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Solution

The third proportional to 160,507.43 and 248,875.90 is: 385,896.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,507.43 : 248,875.90 = 248,875.90 : x
  2. Step 2: Convert to fraction form
    160,507.43/248,875.90 = 248,875.90/x
  3. Step 3: Cross multiply
    160,507.43x = 248,875.90 × 248,875.90
  4. Step 4: Simplify right side
    160,507.43x = 61,939,214,281.33
  5. Step 5: Solve for x
    x = 61,939,214,281.33/160,507.43
  6. Step 6: Final answer
    x = 385,896.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.