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Finding the Third Proportional to 242,247 and 375,088.50

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Solution

The third proportional to 242,247 and 375,088.50 is: 580,776.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,247 : 375,088.50 = 375,088.50 : x
  2. Step 2: Convert to fraction form
    242,247/375,088.50 = 375,088.50/x
  3. Step 3: Cross multiply
    242,247x = 375,088.50 × 375,088.50
  4. Step 4: Simplify right side
    242,247x = 140,691,382,832.25
  5. Step 5: Solve for x
    x = 140,691,382,832.25/242,247
  6. Step 6: Final answer
    x = 580,776.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.