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Finding the Third Proportional to 145,480 and 224,375

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Solution

The third proportional to 145,480 and 224,375 is: 346,055.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,480 : 224,375 = 224,375 : x
  2. Step 2: Convert to fraction form
    145,480/224,375 = 224,375/x
  3. Step 3: Cross multiply
    145,480x = 224,375 × 224,375
  4. Step 4: Simplify right side
    145,480x = 50,344,140,625
  5. Step 5: Solve for x
    x = 50,344,140,625/145,480
  6. Step 6: Final answer
    x = 346,055.41

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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.