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Finding the Third Proportional to 122,694 and 264,718.50

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Solution

The third proportional to 122,694 and 264,718.50 is: 571,143.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,694 : 264,718.50 = 264,718.50 : x
  2. Step 2: Convert to fraction form
    122,694/264,718.50 = 264,718.50/x
  3. Step 3: Cross multiply
    122,694x = 264,718.50 × 264,718.50
  4. Step 4: Simplify right side
    122,694x = 70,075,884,242.25
  5. Step 5: Solve for x
    x = 70,075,884,242.25/122,694
  6. Step 6: Final answer
    x = 571,143.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.