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Finding the Third Proportional to 134,731.16 and 285,890.45

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Solution

The third proportional to 134,731.16 and 285,890.45 is: 606,640.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,731.16 : 285,890.45 = 285,890.45 : x
  2. Step 2: Convert to fraction form
    134,731.16/285,890.45 = 285,890.45/x
  3. Step 3: Cross multiply
    134,731.16x = 285,890.45 × 285,890.45
  4. Step 4: Simplify right side
    134,731.16x = 81,733,348,954.50
  5. Step 5: Solve for x
    x = 81,733,348,954.50/134,731.16
  6. Step 6: Final answer
    x = 606,640.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.