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Finding the Third Proportional to 160,506 and 343,233

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Solution

The third proportional to 160,506 and 343,233 is: 733,984.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,506 : 343,233 = 343,233 : x
  2. Step 2: Convert to fraction form
    160,506/343,233 = 343,233/x
  3. Step 3: Cross multiply
    160,506x = 343,233 × 343,233
  4. Step 4: Simplify right side
    160,506x = 117,808,892,289
  5. Step 5: Solve for x
    x = 117,808,892,289/160,506
  6. Step 6: Final answer
    x = 733,984.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.