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Finding the Third Proportional to 186,423.75 and 291,630.94

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Solution

The third proportional to 186,423.75 and 291,630.94 is: 456,211.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,423.75 : 291,630.94 = 291,630.94 : x
  2. Step 2: Convert to fraction form
    186,423.75/291,630.94 = 291,630.94/x
  3. Step 3: Cross multiply
    186,423.75x = 291,630.94 × 291,630.94
  4. Step 4: Simplify right side
    186,423.75x = 85,048,603,707.13
  5. Step 5: Solve for x
    x = 85,048,603,707.13/186,423.75
  6. Step 6: Final answer
    x = 456,211.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.