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Finding the Third Proportional to 134,428.06 and 206,341.81

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Solution

The third proportional to 134,428.06 and 206,341.81 is: 316,726.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,428.06 : 206,341.81 = 206,341.81 : x
  2. Step 2: Convert to fraction form
    134,428.06/206,341.81 = 206,341.81/x
  3. Step 3: Cross multiply
    134,428.06x = 206,341.81 × 206,341.81
  4. Step 4: Simplify right side
    134,428.06x = 42,576,943,585.79
  5. Step 5: Solve for x
    x = 42,576,943,585.79/134,428.06
  6. Step 6: Final answer
    x = 316,726.60

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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.