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Finding the Third Proportional to 106,386.50 and 230,502.50

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Solution

The third proportional to 106,386.50 and 230,502.50 is: 499,418.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,386.50 : 230,502.50 = 230,502.50 : x
  2. Step 2: Convert to fraction form
    106,386.50/230,502.50 = 230,502.50/x
  3. Step 3: Cross multiply
    106,386.50x = 230,502.50 × 230,502.50
  4. Step 4: Simplify right side
    106,386.50x = 53,131,402,506.25
  5. Step 5: Solve for x
    x = 53,131,402,506.25/106,386.50
  6. Step 6: Final answer
    x = 499,418.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.