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Finding the Third Proportional to 150,860 and 312,154

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Solution

The third proportional to 150,860 and 312,154 is: 645,897.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,860 : 312,154 = 312,154 : x
  2. Step 2: Convert to fraction form
    150,860/312,154 = 312,154/x
  3. Step 3: Cross multiply
    150,860x = 312,154 × 312,154
  4. Step 4: Simplify right side
    150,860x = 97,440,119,716
  5. Step 5: Solve for x
    x = 97,440,119,716/150,860
  6. Step 6: Final answer
    x = 645,897.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.