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Finding the Third Proportional to 152,207 and 242,405

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Solution

The third proportional to 152,207 and 242,405 is: 386,054.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,207 : 242,405 = 242,405 : x
  2. Step 2: Convert to fraction form
    152,207/242,405 = 242,405/x
  3. Step 3: Cross multiply
    152,207x = 242,405 × 242,405
  4. Step 4: Simplify right side
    152,207x = 58,760,184,025
  5. Step 5: Solve for x
    x = 58,760,184,025/152,207
  6. Step 6: Final answer
    x = 386,054.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.