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Finding the Third Proportional to 152,284 and 350,974

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Solution

The third proportional to 152,284 and 350,974 is: 808,901.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,284 : 350,974 = 350,974 : x
  2. Step 2: Convert to fraction form
    152,284/350,974 = 350,974/x
  3. Step 3: Cross multiply
    152,284x = 350,974 × 350,974
  4. Step 4: Simplify right side
    152,284x = 123,182,748,676
  5. Step 5: Solve for x
    x = 123,182,748,676/152,284
  6. Step 6: Final answer
    x = 808,901.45

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.