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Finding the Third Proportional to 158,767 and 343,411

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Solution

The third proportional to 158,767 and 343,411 is: 742,793.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,767 : 343,411 = 343,411 : x
  2. Step 2: Convert to fraction form
    158,767/343,411 = 343,411/x
  3. Step 3: Cross multiply
    158,767x = 343,411 × 343,411
  4. Step 4: Simplify right side
    158,767x = 117,931,114,921
  5. Step 5: Solve for x
    x = 117,931,114,921/158,767
  6. Step 6: Final answer
    x = 742,793.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.