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Finding the Third Proportional to 141,187.50 and 310,023

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Solution

The third proportional to 141,187.50 and 310,023 is: 680,756.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,187.50 : 310,023 = 310,023 : x
  2. Step 2: Convert to fraction form
    141,187.50/310,023 = 310,023/x
  3. Step 3: Cross multiply
    141,187.50x = 310,023 × 310,023
  4. Step 4: Simplify right side
    141,187.50x = 96,114,260,529
  5. Step 5: Solve for x
    x = 96,114,260,529/141,187.50
  6. Step 6: Final answer
    x = 680,756.16

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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.