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Finding the Third Proportional to 134,324 and 205,700

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Solution

The third proportional to 134,324 and 205,700 is: 315,003.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,324 : 205,700 = 205,700 : x
  2. Step 2: Convert to fraction form
    134,324/205,700 = 205,700/x
  3. Step 3: Cross multiply
    134,324x = 205,700 × 205,700
  4. Step 4: Simplify right side
    134,324x = 42,312,490,000
  5. Step 5: Solve for x
    x = 42,312,490,000/134,324
  6. Step 6: Final answer
    x = 315,003.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.