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Finding the Third Proportional to 239,360 and 525,376

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Solution

The third proportional to 239,360 and 525,376 is: 1,153,158.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,360 : 525,376 = 525,376 : x
  2. Step 2: Convert to fraction form
    239,360/525,376 = 525,376/x
  3. Step 3: Cross multiply
    239,360x = 525,376 × 525,376
  4. Step 4: Simplify right side
    239,360x = 276,019,941,376
  5. Step 5: Solve for x
    x = 276,019,941,376/239,360
  6. Step 6: Final answer
    x = 1,153,158.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.