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Finding the Third Proportional to 148,140 and 318,759

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Solution

The third proportional to 148,140 and 318,759 is: 685,887.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,140 : 318,759 = 318,759 : x
  2. Step 2: Convert to fraction form
    148,140/318,759 = 318,759/x
  3. Step 3: Cross multiply
    148,140x = 318,759 × 318,759
  4. Step 4: Simplify right side
    148,140x = 101,607,300,081
  5. Step 5: Solve for x
    x = 101,607,300,081/148,140
  6. Step 6: Final answer
    x = 685,887.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.