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Finding the Third Proportional to 119,432 and 180,492

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Solution

The third proportional to 119,432 and 180,492 is: 272,769.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,432 : 180,492 = 180,492 : x
  2. Step 2: Convert to fraction form
    119,432/180,492 = 180,492/x
  3. Step 3: Cross multiply
    119,432x = 180,492 × 180,492
  4. Step 4: Simplify right side
    119,432x = 32,577,362,064
  5. Step 5: Solve for x
    x = 32,577,362,064/119,432
  6. Step 6: Final answer
    x = 272,769.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.