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Finding the Third Proportional to 110,128.50 and 240,237

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Solution

The third proportional to 110,128.50 and 240,237 is: 524,058.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,128.50 : 240,237 = 240,237 : x
  2. Step 2: Convert to fraction form
    110,128.50/240,237 = 240,237/x
  3. Step 3: Cross multiply
    110,128.50x = 240,237 × 240,237
  4. Step 4: Simplify right side
    110,128.50x = 57,713,816,169
  5. Step 5: Solve for x
    x = 57,713,816,169/110,128.50
  6. Step 6: Final answer
    x = 524,058.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.