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Finding the Third Proportional to 134,437 and 206,355

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Solution

The third proportional to 134,437 and 206,355 is: 316,746.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,437 : 206,355 = 206,355 : x
  2. Step 2: Convert to fraction form
    134,437/206,355 = 206,355/x
  3. Step 3: Cross multiply
    134,437x = 206,355 × 206,355
  4. Step 4: Simplify right side
    134,437x = 42,582,386,025
  5. Step 5: Solve for x
    x = 42,582,386,025/134,437
  6. Step 6: Final answer
    x = 316,746.03

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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.