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Finding the Third Proportional to 114,492 and 168,312

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Solution

The third proportional to 114,492 and 168,312 is: 247,431.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,492 : 168,312 = 168,312 : x
  2. Step 2: Convert to fraction form
    114,492/168,312 = 168,312/x
  3. Step 3: Cross multiply
    114,492x = 168,312 × 168,312
  4. Step 4: Simplify right side
    114,492x = 28,328,929,344
  5. Step 5: Solve for x
    x = 28,328,929,344/114,492
  6. Step 6: Final answer
    x = 247,431.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.