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Finding the Third Proportional to 158,095 and 242,974

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Solution

The third proportional to 158,095 and 242,974 is: 373,423.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,095 : 242,974 = 242,974 : x
  2. Step 2: Convert to fraction form
    158,095/242,974 = 242,974/x
  3. Step 3: Cross multiply
    158,095x = 242,974 × 242,974
  4. Step 4: Simplify right side
    158,095x = 59,036,364,676
  5. Step 5: Solve for x
    x = 59,036,364,676/158,095
  6. Step 6: Final answer
    x = 373,423.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.