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Finding the Third Proportional to 114,986 and 251,347

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Solution

The third proportional to 114,986 and 251,347 is: 549,417.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,986 : 251,347 = 251,347 : x
  2. Step 2: Convert to fraction form
    114,986/251,347 = 251,347/x
  3. Step 3: Cross multiply
    114,986x = 251,347 × 251,347
  4. Step 4: Simplify right side
    114,986x = 63,175,314,409
  5. Step 5: Solve for x
    x = 63,175,314,409/114,986
  6. Step 6: Final answer
    x = 549,417.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.