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Finding the Third Proportional to 119,437 and 180,699.50

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Solution

The third proportional to 119,437 and 180,699.50 is: 273,385.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,437 : 180,699.50 = 180,699.50 : x
  2. Step 2: Convert to fraction form
    119,437/180,699.50 = 180,699.50/x
  3. Step 3: Cross multiply
    119,437x = 180,699.50 × 180,699.50
  4. Step 4: Simplify right side
    119,437x = 32,652,309,300.25
  5. Step 5: Solve for x
    x = 32,652,309,300.25/119,437
  6. Step 6: Final answer
    x = 273,385.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.