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Finding the Third Proportional to 148,376 and 326,416

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Solution

The third proportional to 148,376 and 326,416 is: 718,090.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,376 : 326,416 = 326,416 : x
  2. Step 2: Convert to fraction form
    148,376/326,416 = 326,416/x
  3. Step 3: Cross multiply
    148,376x = 326,416 × 326,416
  4. Step 4: Simplify right side
    148,376x = 106,547,405,056
  5. Step 5: Solve for x
    x = 106,547,405,056/148,376
  6. Step 6: Final answer
    x = 718,090.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.