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Finding the Third Proportional to 112,470.50 and 237,583.75

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Solution

The third proportional to 112,470.50 and 237,583.75 is: 501,874.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,470.50 : 237,583.75 = 237,583.75 : x
  2. Step 2: Convert to fraction form
    112,470.50/237,583.75 = 237,583.75/x
  3. Step 3: Cross multiply
    112,470.50x = 237,583.75 × 237,583.75
  4. Step 4: Simplify right side
    112,470.50x = 56,446,038,264.06
  5. Step 5: Solve for x
    x = 56,446,038,264.06/112,470.50
  6. Step 6: Final answer
    x = 501,874.16

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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.