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Finding the Third Proportional to 261,569 and 370,223

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Solution

The third proportional to 261,569 and 370,223 is: 524,011.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,569 : 370,223 = 370,223 : x
  2. Step 2: Convert to fraction form
    261,569/370,223 = 370,223/x
  3. Step 3: Cross multiply
    261,569x = 370,223 × 370,223
  4. Step 4: Simplify right side
    261,569x = 137,065,069,729
  5. Step 5: Solve for x
    x = 137,065,069,729/261,569
  6. Step 6: Final answer
    x = 524,011.14

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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.