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Finding the Third Proportional to 145,253 and 224,350

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Solution

The third proportional to 145,253 and 224,350 is: 346,518.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,253 : 224,350 = 224,350 : x
  2. Step 2: Convert to fraction form
    145,253/224,350 = 224,350/x
  3. Step 3: Cross multiply
    145,253x = 224,350 × 224,350
  4. Step 4: Simplify right side
    145,253x = 50,332,922,500
  5. Step 5: Solve for x
    x = 50,332,922,500/145,253
  6. Step 6: Final answer
    x = 346,518.99

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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.