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Finding the Third Proportional to 135,993 and 224,746.50

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Solution

The third proportional to 135,993 and 224,746.50 is: 371,423.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,993 : 224,746.50 = 224,746.50 : x
  2. Step 2: Convert to fraction form
    135,993/224,746.50 = 224,746.50/x
  3. Step 3: Cross multiply
    135,993x = 224,746.50 × 224,746.50
  4. Step 4: Simplify right side
    135,993x = 50,510,989,262.25
  5. Step 5: Solve for x
    x = 50,510,989,262.25/135,993
  6. Step 6: Final answer
    x = 371,423.45

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.