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Finding the Third Proportional to 145,098 and 224,209

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Solution

The third proportional to 145,098 and 224,209 is: 346,453.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,098 : 224,209 = 224,209 : x
  2. Step 2: Convert to fraction form
    145,098/224,209 = 224,209/x
  3. Step 3: Cross multiply
    145,098x = 224,209 × 224,209
  4. Step 4: Simplify right side
    145,098x = 50,269,675,681
  5. Step 5: Solve for x
    x = 50,269,675,681/145,098
  6. Step 6: Final answer
    x = 346,453.26

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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.