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Finding the Third Proportional to 142,323 and 309,702

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Solution

The third proportional to 142,323 and 309,702 is: 673,927.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,323 : 309,702 = 309,702 : x
  2. Step 2: Convert to fraction form
    142,323/309,702 = 309,702/x
  3. Step 3: Cross multiply
    142,323x = 309,702 × 309,702
  4. Step 4: Simplify right side
    142,323x = 95,915,328,804
  5. Step 5: Solve for x
    x = 95,915,328,804/142,323
  6. Step 6: Final answer
    x = 673,927.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.