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Finding the Third Proportional to 142,784 and 310,992

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Solution

The third proportional to 142,784 and 310,992 is: 677,358.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,784 : 310,992 = 310,992 : x
  2. Step 2: Convert to fraction form
    142,784/310,992 = 310,992/x
  3. Step 3: Cross multiply
    142,784x = 310,992 × 310,992
  4. Step 4: Simplify right side
    142,784x = 96,716,024,064
  5. Step 5: Solve for x
    x = 96,716,024,064/142,784
  6. Step 6: Final answer
    x = 677,358.98

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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.