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Finding the Third Proportional to 158,598 and 370,074.38

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Solution

The third proportional to 158,598 and 370,074.38 is: 863,535.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,598 : 370,074.38 = 370,074.38 : x
  2. Step 2: Convert to fraction form
    158,598/370,074.38 = 370,074.38/x
  3. Step 3: Cross multiply
    158,598x = 370,074.38 × 370,074.38
  4. Step 4: Simplify right side
    158,598x = 136,955,043,031.64
  5. Step 5: Solve for x
    x = 136,955,043,031.64/158,598
  6. Step 6: Final answer
    x = 863,535.75

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.