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Finding the Third Proportional to 145,120 and 224,237

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Solution

The third proportional to 145,120 and 224,237 is: 346,487.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,120 : 224,237 = 224,237 : x
  2. Step 2: Convert to fraction form
    145,120/224,237 = 224,237/x
  3. Step 3: Cross multiply
    145,120x = 224,237 × 224,237
  4. Step 4: Simplify right side
    145,120x = 50,282,232,169
  5. Step 5: Solve for x
    x = 50,282,232,169/145,120
  6. Step 6: Final answer
    x = 346,487.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.