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Finding the Third Proportional to 178,152 and 266,364

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Solution

The third proportional to 178,152 and 266,364 is: 398,254.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,152 : 266,364 = 266,364 : x
  2. Step 2: Convert to fraction form
    178,152/266,364 = 266,364/x
  3. Step 3: Cross multiply
    178,152x = 266,364 × 266,364
  4. Step 4: Simplify right side
    178,152x = 70,949,780,496
  5. Step 5: Solve for x
    x = 70,949,780,496/178,152
  6. Step 6: Final answer
    x = 398,254.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.