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Finding the Third Proportional to 158,038 and 242,330

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Solution

The third proportional to 158,038 and 242,330 is: 371,580.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,038 : 242,330 = 242,330 : x
  2. Step 2: Convert to fraction form
    158,038/242,330 = 242,330/x
  3. Step 3: Cross multiply
    158,038x = 242,330 × 242,330
  4. Step 4: Simplify right side
    158,038x = 58,723,828,900
  5. Step 5: Solve for x
    x = 58,723,828,900/158,038
  6. Step 6: Final answer
    x = 371,580.44

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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.