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Finding the Third Proportional to 169,312.78 and 266,078.67

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Solution

The third proportional to 169,312.78 and 266,078.67 is: 418,148.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,312.78 : 266,078.67 = 266,078.67 : x
  2. Step 2: Convert to fraction form
    169,312.78/266,078.67 = 266,078.67/x
  3. Step 3: Cross multiply
    169,312.78x = 266,078.67 × 266,078.67
  4. Step 4: Simplify right side
    169,312.78x = 70,797,859,626.76
  5. Step 5: Solve for x
    x = 70,797,859,626.76/169,312.78
  6. Step 6: Final answer
    x = 418,148.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.