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Finding the Third Proportional to 70,490 and 152,596

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Solution

The third proportional to 70,490 and 152,596 is: 330,338.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,490 : 152,596 = 152,596 : x
  2. Step 2: Convert to fraction form
    70,490/152,596 = 152,596/x
  3. Step 3: Cross multiply
    70,490x = 152,596 × 152,596
  4. Step 4: Simplify right side
    70,490x = 23,285,539,216
  5. Step 5: Solve for x
    x = 23,285,539,216/70,490
  6. Step 6: Final answer
    x = 330,338.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.