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Finding the Third Proportional to 155,160 and 237,253

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Solution

The third proportional to 155,160 and 237,253 is: 362,780.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,160 : 237,253 = 237,253 : x
  2. Step 2: Convert to fraction form
    155,160/237,253 = 237,253/x
  3. Step 3: Cross multiply
    155,160x = 237,253 × 237,253
  4. Step 4: Simplify right side
    155,160x = 56,288,986,009
  5. Step 5: Solve for x
    x = 56,288,986,009/155,160
  6. Step 6: Final answer
    x = 362,780.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.