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Finding the Third Proportional to 147,396 and 346,482

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Solution

The third proportional to 147,396 and 346,482 is: 814,471.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,396 : 346,482 = 346,482 : x
  2. Step 2: Convert to fraction form
    147,396/346,482 = 346,482/x
  3. Step 3: Cross multiply
    147,396x = 346,482 × 346,482
  4. Step 4: Simplify right side
    147,396x = 120,049,776,324
  5. Step 5: Solve for x
    x = 120,049,776,324/147,396
  6. Step 6: Final answer
    x = 814,471.06

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.