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Finding the Third Proportional to 135,486 and 201,271.50

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Solution

The third proportional to 135,486 and 201,271.50 is: 298,999.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,486 : 201,271.50 = 201,271.50 : x
  2. Step 2: Convert to fraction form
    135,486/201,271.50 = 201,271.50/x
  3. Step 3: Cross multiply
    135,486x = 201,271.50 × 201,271.50
  4. Step 4: Simplify right side
    135,486x = 40,510,216,712.25
  5. Step 5: Solve for x
    x = 40,510,216,712.25/135,486
  6. Step 6: Final answer
    x = 298,999.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.