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Finding the Third Proportional to 148,618 and 321,476

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Solution

The third proportional to 148,618 and 321,476 is: 695,385.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,618 : 321,476 = 321,476 : x
  2. Step 2: Convert to fraction form
    148,618/321,476 = 321,476/x
  3. Step 3: Cross multiply
    148,618x = 321,476 × 321,476
  4. Step 4: Simplify right side
    148,618x = 103,346,818,576
  5. Step 5: Solve for x
    x = 103,346,818,576/148,618
  6. Step 6: Final answer
    x = 695,385.61

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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.