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Finding the Third Proportional to 180,864 and 266,068.13

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Solution

The third proportional to 180,864 and 266,068.13 is: 391,411.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,864 : 266,068.13 = 266,068.13 : x
  2. Step 2: Convert to fraction form
    180,864/266,068.13 = 266,068.13/x
  3. Step 3: Cross multiply
    180,864x = 266,068.13 × 266,068.13
  4. Step 4: Simplify right side
    180,864x = 70,792,247,141.02
  5. Step 5: Solve for x
    x = 70,792,247,141.02/180,864
  6. Step 6: Final answer
    x = 391,411.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.