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Finding the Third Proportional to 186,156 and 278,482

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Solution

The third proportional to 186,156 and 278,482 is: 416,598.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,156 : 278,482 = 278,482 : x
  2. Step 2: Convert to fraction form
    186,156/278,482 = 278,482/x
  3. Step 3: Cross multiply
    186,156x = 278,482 × 278,482
  4. Step 4: Simplify right side
    186,156x = 77,552,224,324
  5. Step 5: Solve for x
    x = 77,552,224,324/186,156
  6. Step 6: Final answer
    x = 416,598.04

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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.