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Finding the Third Proportional to 114,656 and 237,409

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Solution

The third proportional to 114,656 and 237,409 is: 491,583.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,656 : 237,409 = 237,409 : x
  2. Step 2: Convert to fraction form
    114,656/237,409 = 237,409/x
  3. Step 3: Cross multiply
    114,656x = 237,409 × 237,409
  4. Step 4: Simplify right side
    114,656x = 56,363,033,281
  5. Step 5: Solve for x
    x = 56,363,033,281/114,656
  6. Step 6: Final answer
    x = 491,583.81

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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.