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Finding the Third Proportional to 142,970 and 305,572

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Solution

The third proportional to 142,970 and 305,572 is: 653,103.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,970 : 305,572 = 305,572 : x
  2. Step 2: Convert to fraction form
    142,970/305,572 = 305,572/x
  3. Step 3: Cross multiply
    142,970x = 305,572 × 305,572
  4. Step 4: Simplify right side
    142,970x = 93,374,247,184
  5. Step 5: Solve for x
    x = 93,374,247,184/142,970
  6. Step 6: Final answer
    x = 653,103.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.