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Finding the Third Proportional to 147,432 and 201,748.50

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Solution

The third proportional to 147,432 and 201,748.50 is: 276,076.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,432 : 201,748.50 = 201,748.50 : x
  2. Step 2: Convert to fraction form
    147,432/201,748.50 = 201,748.50/x
  3. Step 3: Cross multiply
    147,432x = 201,748.50 × 201,748.50
  4. Step 4: Simplify right side
    147,432x = 40,702,457,252.25
  5. Step 5: Solve for x
    x = 40,702,457,252.25/147,432
  6. Step 6: Final answer
    x = 276,076.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.