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Finding the Third Proportional to 142,034 and 309,490

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Solution

The third proportional to 142,034 and 309,490 is: 674,374.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,034 : 309,490 = 309,490 : x
  2. Step 2: Convert to fraction form
    142,034/309,490 = 309,490/x
  3. Step 3: Cross multiply
    142,034x = 309,490 × 309,490
  4. Step 4: Simplify right side
    142,034x = 95,784,060,100
  5. Step 5: Solve for x
    x = 95,784,060,100/142,034
  6. Step 6: Final answer
    x = 674,374.16

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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.