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Finding the Third Proportional to 145,158.75 and 224,299.13

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Solution

The third proportional to 145,158.75 and 224,299.13 is: 346,586.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,158.75 : 224,299.13 = 224,299.13 : x
  2. Step 2: Convert to fraction form
    145,158.75/224,299.13 = 224,299.13/x
  3. Step 3: Cross multiply
    145,158.75x = 224,299.13 × 224,299.13
  4. Step 4: Simplify right side
    145,158.75x = 50,310,097,475.77
  5. Step 5: Solve for x
    x = 50,310,097,475.77/145,158.75
  6. Step 6: Final answer
    x = 346,586.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.