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Finding the Third Proportional to 145,125 and 224,160

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Solution

The third proportional to 145,125 and 224,160 is: 346,237.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,125 : 224,160 = 224,160 : x
  2. Step 2: Convert to fraction form
    145,125/224,160 = 224,160/x
  3. Step 3: Cross multiply
    145,125x = 224,160 × 224,160
  4. Step 4: Simplify right side
    145,125x = 50,247,705,600
  5. Step 5: Solve for x
    x = 50,247,705,600/145,125
  6. Step 6: Final answer
    x = 346,237.42

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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.