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Finding the Third Proportional to 145,330 and 312,921

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Solution

The third proportional to 145,330 and 312,921 is: 673,773.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,330 : 312,921 = 312,921 : x
  2. Step 2: Convert to fraction form
    145,330/312,921 = 312,921/x
  3. Step 3: Cross multiply
    145,330x = 312,921 × 312,921
  4. Step 4: Simplify right side
    145,330x = 97,919,552,241
  5. Step 5: Solve for x
    x = 97,919,552,241/145,330
  6. Step 6: Final answer
    x = 673,773.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.