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Finding the Third Proportional to 261,568.13 and 370,221.75

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Solution

The third proportional to 261,568.13 and 370,221.75 is: 524,009.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,568.13 : 370,221.75 = 370,221.75 : x
  2. Step 2: Convert to fraction form
    261,568.13/370,221.75 = 370,221.75/x
  3. Step 3: Cross multiply
    261,568.13x = 370,221.75 × 370,221.75
  4. Step 4: Simplify right side
    261,568.13x = 137,064,144,173.06
  5. Step 5: Solve for x
    x = 137,064,144,173.06/261,568.13
  6. Step 6: Final answer
    x = 524,009.35

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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.