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Finding the Third Proportional to 114,655.50 and 237,411

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Solution

The third proportional to 114,655.50 and 237,411 is: 491,594.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,655.50 : 237,411 = 237,411 : x
  2. Step 2: Convert to fraction form
    114,655.50/237,411 = 237,411/x
  3. Step 3: Cross multiply
    114,655.50x = 237,411 × 237,411
  4. Step 4: Simplify right side
    114,655.50x = 56,363,982,921
  5. Step 5: Solve for x
    x = 56,363,982,921/114,655.50
  6. Step 6: Final answer
    x = 491,594.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.