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Finding the Third Proportional to 145,122 and 224,153

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Solution

The third proportional to 145,122 and 224,153 is: 346,222.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,122 : 224,153 = 224,153 : x
  2. Step 2: Convert to fraction form
    145,122/224,153 = 224,153/x
  3. Step 3: Cross multiply
    145,122x = 224,153 × 224,153
  4. Step 4: Simplify right side
    145,122x = 50,244,567,409
  5. Step 5: Solve for x
    x = 50,244,567,409/145,122
  6. Step 6: Final answer
    x = 346,222.95

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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.