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Finding the Third Proportional to 175,509 and 250,804

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Solution

The third proportional to 175,509 and 250,804 is: 358,401.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,509 : 250,804 = 250,804 : x
  2. Step 2: Convert to fraction form
    175,509/250,804 = 250,804/x
  3. Step 3: Cross multiply
    175,509x = 250,804 × 250,804
  4. Step 4: Simplify right side
    175,509x = 62,902,646,416
  5. Step 5: Solve for x
    x = 62,902,646,416/175,509
  6. Step 6: Final answer
    x = 358,401.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.