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Finding the Third Proportional to 114,266.25 and 250,683.75

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Solution

The third proportional to 114,266.25 and 250,683.75 is: 549,964.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,266.25 : 250,683.75 = 250,683.75 : x
  2. Step 2: Convert to fraction form
    114,266.25/250,683.75 = 250,683.75/x
  3. Step 3: Cross multiply
    114,266.25x = 250,683.75 × 250,683.75
  4. Step 4: Simplify right side
    114,266.25x = 62,842,342,514.06
  5. Step 5: Solve for x
    x = 62,842,342,514.06/114,266.25
  6. Step 6: Final answer
    x = 549,964.16

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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.