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Finding the Third Proportional to 120,516.19 and 262,423.13

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Solution

The third proportional to 120,516.19 and 262,423.13 is: 571,424.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,516.19 : 262,423.13 = 262,423.13 : x
  2. Step 2: Convert to fraction form
    120,516.19/262,423.13 = 262,423.13/x
  3. Step 3: Cross multiply
    120,516.19x = 262,423.13 × 262,423.13
  4. Step 4: Simplify right side
    120,516.19x = 68,865,896,534.77
  5. Step 5: Solve for x
    x = 68,865,896,534.77/120,516.19
  6. Step 6: Final answer
    x = 571,424.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.