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Finding the Third Proportional to 201,707.50 and 312,315

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Solution

The third proportional to 201,707.50 and 312,315 is: 483,574.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,707.50 : 312,315 = 312,315 : x
  2. Step 2: Convert to fraction form
    201,707.50/312,315 = 312,315/x
  3. Step 3: Cross multiply
    201,707.50x = 312,315 × 312,315
  4. Step 4: Simplify right side
    201,707.50x = 97,540,659,225
  5. Step 5: Solve for x
    x = 97,540,659,225/201,707.50
  6. Step 6: Final answer
    x = 483,574.78

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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.