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Finding the Third Proportional to 158,922 and 242,595

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Solution

The third proportional to 158,922 and 242,595 is: 370,322.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,922 : 242,595 = 242,595 : x
  2. Step 2: Convert to fraction form
    158,922/242,595 = 242,595/x
  3. Step 3: Cross multiply
    158,922x = 242,595 × 242,595
  4. Step 4: Simplify right side
    158,922x = 58,852,334,025
  5. Step 5: Solve for x
    x = 58,852,334,025/158,922
  6. Step 6: Final answer
    x = 370,322.13

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.