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Finding the Third Proportional to 143,830.13 and 220,126.50

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Solution

The third proportional to 143,830.13 and 220,126.50 is: 336,895.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,830.13 : 220,126.50 = 220,126.50 : x
  2. Step 2: Convert to fraction form
    143,830.13/220,126.50 = 220,126.50/x
  3. Step 3: Cross multiply
    143,830.13x = 220,126.50 × 220,126.50
  4. Step 4: Simplify right side
    143,830.13x = 48,455,676,002.25
  5. Step 5: Solve for x
    x = 48,455,676,002.25/143,830.13
  6. Step 6: Final answer
    x = 336,895.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.