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Finding the Third Proportional to 114,240 and 170,688

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Solution

The third proportional to 114,240 and 170,688 is: 255,027.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,240 : 170,688 = 170,688 : x
  2. Step 2: Convert to fraction form
    114,240/170,688 = 170,688/x
  3. Step 3: Cross multiply
    114,240x = 170,688 × 170,688
  4. Step 4: Simplify right side
    114,240x = 29,134,393,344
  5. Step 5: Solve for x
    x = 29,134,393,344/114,240
  6. Step 6: Final answer
    x = 255,027.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.