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Finding the Third Proportional to 114,742.50 and 248,545.50

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Solution

The third proportional to 114,742.50 and 248,545.50 is: 538,378.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,742.50 : 248,545.50 = 248,545.50 : x
  2. Step 2: Convert to fraction form
    114,742.50/248,545.50 = 248,545.50/x
  3. Step 3: Cross multiply
    114,742.50x = 248,545.50 × 248,545.50
  4. Step 4: Simplify right side
    114,742.50x = 61,774,865,570.25
  5. Step 5: Solve for x
    x = 61,774,865,570.25/114,742.50
  6. Step 6: Final answer
    x = 538,378.24

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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.