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Finding the Third Proportional to 160,437 and 240,655.50

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Solution

The third proportional to 160,437 and 240,655.50 is: 360,983.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,437 : 240,655.50 = 240,655.50 : x
  2. Step 2: Convert to fraction form
    160,437/240,655.50 = 240,655.50/x
  3. Step 3: Cross multiply
    160,437x = 240,655.50 × 240,655.50
  4. Step 4: Simplify right side
    160,437x = 57,915,069,680.25
  5. Step 5: Solve for x
    x = 57,915,069,680.25/160,437
  6. Step 6: Final answer
    x = 360,983.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.