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Finding the Third Proportional to 115,929.75 and 244,312.50

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Solution

The third proportional to 115,929.75 and 244,312.50 is: 514,868.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,929.75 : 244,312.50 = 244,312.50 : x
  2. Step 2: Convert to fraction form
    115,929.75/244,312.50 = 244,312.50/x
  3. Step 3: Cross multiply
    115,929.75x = 244,312.50 × 244,312.50
  4. Step 4: Simplify right side
    115,929.75x = 59,688,597,656.25
  5. Step 5: Solve for x
    x = 59,688,597,656.25/115,929.75
  6. Step 6: Final answer
    x = 514,868.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.