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Finding the Third Proportional to 112,330 and 240,454.50

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Solution

The third proportional to 112,330 and 240,454.50 is: 514,718.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,330 : 240,454.50 = 240,454.50 : x
  2. Step 2: Convert to fraction form
    112,330/240,454.50 = 240,454.50/x
  3. Step 3: Cross multiply
    112,330x = 240,454.50 × 240,454.50
  4. Step 4: Simplify right side
    112,330x = 57,818,366,570.25
  5. Step 5: Solve for x
    x = 57,818,366,570.25/112,330
  6. Step 6: Final answer
    x = 514,718.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.