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Finding the Third Proportional to 115,313 and 253,327.50

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Solution

The third proportional to 115,313 and 253,327.50 is: 556,527.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,313 : 253,327.50 = 253,327.50 : x
  2. Step 2: Convert to fraction form
    115,313/253,327.50 = 253,327.50/x
  3. Step 3: Cross multiply
    115,313x = 253,327.50 × 253,327.50
  4. Step 4: Simplify right side
    115,313x = 64,174,822,256.25
  5. Step 5: Solve for x
    x = 64,174,822,256.25/115,313
  6. Step 6: Final answer
    x = 556,527.21

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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.