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Finding the Third Proportional to 145,113.38 and 224,237.06

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Solution

The third proportional to 145,113.38 and 224,237.06 is: 346,503.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,113.38 : 224,237.06 = 224,237.06 : x
  2. Step 2: Convert to fraction form
    145,113.38/224,237.06 = 224,237.06/x
  3. Step 3: Cross multiply
    145,113.38x = 224,237.06 × 224,237.06
  4. Step 4: Simplify right side
    145,113.38x = 50,282,260,198.63
  5. Step 5: Solve for x
    x = 50,282,260,198.63/145,113.38
  6. Step 6: Final answer
    x = 346,503.28

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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.