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Finding the Third Proportional to 152,404 and 369,810

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Solution

The third proportional to 152,404 and 369,810 is: 897,348.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,404 : 369,810 = 369,810 : x
  2. Step 2: Convert to fraction form
    152,404/369,810 = 369,810/x
  3. Step 3: Cross multiply
    152,404x = 369,810 × 369,810
  4. Step 4: Simplify right side
    152,404x = 136,759,436,100
  5. Step 5: Solve for x
    x = 136,759,436,100/152,404
  6. Step 6: Final answer
    x = 897,348.08

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.