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Finding the Third Proportional to 142,518 and 307,878

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Solution

The third proportional to 142,518 and 307,878 is: 665,100.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,518 : 307,878 = 307,878 : x
  2. Step 2: Convert to fraction form
    142,518/307,878 = 307,878/x
  3. Step 3: Cross multiply
    142,518x = 307,878 × 307,878
  4. Step 4: Simplify right side
    142,518x = 94,788,862,884
  5. Step 5: Solve for x
    x = 94,788,862,884/142,518
  6. Step 6: Final answer
    x = 665,100.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.