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Finding the Third Proportional to 134,840 and 295,492

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Solution

The third proportional to 134,840 and 295,492 is: 647,549.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,840 : 295,492 = 295,492 : x
  2. Step 2: Convert to fraction form
    134,840/295,492 = 295,492/x
  3. Step 3: Cross multiply
    134,840x = 295,492 × 295,492
  4. Step 4: Simplify right side
    134,840x = 87,315,522,064
  5. Step 5: Solve for x
    x = 87,315,522,064/134,840
  6. Step 6: Final answer
    x = 647,549.11

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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.