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Finding the Third Proportional to 145,250.72 and 224,347.22

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Solution

The third proportional to 145,250.72 and 224,347.22 is: 346,515.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,250.72 : 224,347.22 = 224,347.22 : x
  2. Step 2: Convert to fraction form
    145,250.72/224,347.22 = 224,347.22/x
  3. Step 3: Cross multiply
    145,250.72x = 224,347.22 × 224,347.22
  4. Step 4: Simplify right side
    145,250.72x = 50,331,674,560.86
  5. Step 5: Solve for x
    x = 50,331,674,560.86/145,250.72
  6. Step 6: Final answer
    x = 346,515.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.