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Finding the Third Proportional to 237,112.50 and 355,677.75

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Solution

The third proportional to 237,112.50 and 355,677.75 is: 533,530.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,112.50 : 355,677.75 = 355,677.75 : x
  2. Step 2: Convert to fraction form
    237,112.50/355,677.75 = 355,677.75/x
  3. Step 3: Cross multiply
    237,112.50x = 355,677.75 × 355,677.75
  4. Step 4: Simplify right side
    237,112.50x = 126,506,661,845.06
  5. Step 5: Solve for x
    x = 126,506,661,845.06/237,112.50
  6. Step 6: Final answer
    x = 533,530.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.