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Finding the Third Proportional to 240,149 and 376,709

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Solution

The third proportional to 240,149 and 376,709 is: 590,923.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,149 : 376,709 = 376,709 : x
  2. Step 2: Convert to fraction form
    240,149/376,709 = 376,709/x
  3. Step 3: Cross multiply
    240,149x = 376,709 × 376,709
  4. Step 4: Simplify right side
    240,149x = 141,909,670,681
  5. Step 5: Solve for x
    x = 141,909,670,681/240,149
  6. Step 6: Final answer
    x = 590,923.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.