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Finding the Third Proportional to 153,022.50 and 224,862.75

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Solution

The third proportional to 153,022.50 and 224,862.75 is: 330,430.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,022.50 : 224,862.75 = 224,862.75 : x
  2. Step 2: Convert to fraction form
    153,022.50/224,862.75 = 224,862.75/x
  3. Step 3: Cross multiply
    153,022.50x = 224,862.75 × 224,862.75
  4. Step 4: Simplify right side
    153,022.50x = 50,563,256,337.56
  5. Step 5: Solve for x
    x = 50,563,256,337.56/153,022.50
  6. Step 6: Final answer
    x = 330,430.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.