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Finding the Third Proportional to 261,567.56 and 370,218.94

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Solution

The third proportional to 261,567.56 and 370,218.94 is: 524,002.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,567.56 : 370,218.94 = 370,218.94 : x
  2. Step 2: Convert to fraction form
    261,567.56/370,218.94 = 370,218.94/x
  3. Step 3: Cross multiply
    261,567.56x = 370,218.94 × 370,218.94
  4. Step 4: Simplify right side
    261,567.56x = 137,062,061,683.63
  5. Step 5: Solve for x
    x = 137,062,061,683.63/261,567.56
  6. Step 6: Final answer
    x = 524,002.52

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Why These Related Problems?

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