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Finding the Third Proportional to 158,603.06 and 242,927.86

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Solution

The third proportional to 158,603.06 and 242,927.86 is: 372,085.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,603.06 : 242,927.86 = 242,927.86 : x
  2. Step 2: Convert to fraction form
    158,603.06/242,927.86 = 242,927.86/x
  3. Step 3: Cross multiply
    158,603.06x = 242,927.86 × 242,927.86
  4. Step 4: Simplify right side
    158,603.06x = 59,013,944,860.52
  5. Step 5: Solve for x
    x = 59,013,944,860.52/158,603.06
  6. Step 6: Final answer
    x = 372,085.78

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Why These Related Problems?

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