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Finding the Third Proportional to 261,609.75 and 370,278

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Solution

The third proportional to 261,609.75 and 370,278 is: 524,085.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,609.75 : 370,278 = 370,278 : x
  2. Step 2: Convert to fraction form
    261,609.75/370,278 = 370,278/x
  3. Step 3: Cross multiply
    261,609.75x = 370,278 × 370,278
  4. Step 4: Simplify right side
    261,609.75x = 137,105,797,284
  5. Step 5: Solve for x
    x = 137,105,797,284/261,609.75
  6. Step 6: Final answer
    x = 524,085.20

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.