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Finding the Third Proportional to 129,688 and 190,320

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Solution

The third proportional to 129,688 and 190,320 is: 279,298.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,688 : 190,320 = 190,320 : x
  2. Step 2: Convert to fraction form
    129,688/190,320 = 190,320/x
  3. Step 3: Cross multiply
    129,688x = 190,320 × 190,320
  4. Step 4: Simplify right side
    129,688x = 36,221,702,400
  5. Step 5: Solve for x
    x = 36,221,702,400/129,688
  6. Step 6: Final answer
    x = 279,298.80

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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.