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Finding the Third Proportional to 237,102 and 355,660.50

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Solution

The third proportional to 237,102 and 355,660.50 is: 533,502.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,102 : 355,660.50 = 355,660.50 : x
  2. Step 2: Convert to fraction form
    237,102/355,660.50 = 355,660.50/x
  3. Step 3: Cross multiply
    237,102x = 355,660.50 × 355,660.50
  4. Step 4: Simplify right side
    237,102x = 126,494,391,260.25
  5. Step 5: Solve for x
    x = 126,494,391,260.25/237,102
  6. Step 6: Final answer
    x = 533,502.00

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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.