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Finding the Third Proportional to 156,618 and 341,464

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Solution

The third proportional to 156,618 and 341,464 is: 744,471.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,618 : 341,464 = 341,464 : x
  2. Step 2: Convert to fraction form
    156,618/341,464 = 341,464/x
  3. Step 3: Cross multiply
    156,618x = 341,464 × 341,464
  4. Step 4: Simplify right side
    156,618x = 116,597,663,296
  5. Step 5: Solve for x
    x = 116,597,663,296/156,618
  6. Step 6: Final answer
    x = 744,471.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.