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Finding the Third Proportional to 187,733 and 390,998

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Solution

The third proportional to 187,733 and 390,998 is: 814,345.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,733 : 390,998 = 390,998 : x
  2. Step 2: Convert to fraction form
    187,733/390,998 = 390,998/x
  3. Step 3: Cross multiply
    187,733x = 390,998 × 390,998
  4. Step 4: Simplify right side
    187,733x = 152,879,436,004
  5. Step 5: Solve for x
    x = 152,879,436,004/187,733
  6. Step 6: Final answer
    x = 814,345.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.