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Finding the Third Proportional to 107,563.50 and 236,358

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Solution

The third proportional to 107,563.50 and 236,358 is: 519,368.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,563.50 : 236,358 = 236,358 : x
  2. Step 2: Convert to fraction form
    107,563.50/236,358 = 236,358/x
  3. Step 3: Cross multiply
    107,563.50x = 236,358 × 236,358
  4. Step 4: Simplify right side
    107,563.50x = 55,865,104,164
  5. Step 5: Solve for x
    x = 55,865,104,164/107,563.50
  6. Step 6: Final answer
    x = 519,368.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.