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Finding the Third Proportional to 147,942 and 240,354

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Solution

The third proportional to 147,942 and 240,354 is: 390,491.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,942 : 240,354 = 240,354 : x
  2. Step 2: Convert to fraction form
    147,942/240,354 = 240,354/x
  3. Step 3: Cross multiply
    147,942x = 240,354 × 240,354
  4. Step 4: Simplify right side
    147,942x = 57,770,045,316
  5. Step 5: Solve for x
    x = 57,770,045,316/147,942
  6. Step 6: Final answer
    x = 390,491.17

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.