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Finding the Third Proportional to 169,126.50 and 260,048

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Solution

The third proportional to 169,126.50 and 260,048 is: 399,848.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,126.50 : 260,048 = 260,048 : x
  2. Step 2: Convert to fraction form
    169,126.50/260,048 = 260,048/x
  3. Step 3: Cross multiply
    169,126.50x = 260,048 × 260,048
  4. Step 4: Simplify right side
    169,126.50x = 67,624,962,304
  5. Step 5: Solve for x
    x = 67,624,962,304/169,126.50
  6. Step 6: Final answer
    x = 399,848.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.