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Finding the Third Proportional to 261,570 and 370,225

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Solution

The third proportional to 261,570 and 370,225 is: 524,014.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,570 : 370,225 = 370,225 : x
  2. Step 2: Convert to fraction form
    261,570/370,225 = 370,225/x
  3. Step 3: Cross multiply
    261,570x = 370,225 × 370,225
  4. Step 4: Simplify right side
    261,570x = 137,066,550,625
  5. Step 5: Solve for x
    x = 137,066,550,625/261,570
  6. Step 6: Final answer
    x = 524,014.80

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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.