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Finding the Third Proportional to 114,312 and 250,758

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Solution

The third proportional to 114,312 and 250,758 is: 550,069.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,312 : 250,758 = 250,758 : x
  2. Step 2: Convert to fraction form
    114,312/250,758 = 250,758/x
  3. Step 3: Cross multiply
    114,312x = 250,758 × 250,758
  4. Step 4: Simplify right side
    114,312x = 62,879,574,564
  5. Step 5: Solve for x
    x = 62,879,574,564/114,312
  6. Step 6: Final answer
    x = 550,069.76

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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.