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Finding the Third Proportional to 191,319 and 242,584.50

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Solution

The third proportional to 191,319 and 242,584.50 is: 307,587.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,319 : 242,584.50 = 242,584.50 : x
  2. Step 2: Convert to fraction form
    191,319/242,584.50 = 242,584.50/x
  3. Step 3: Cross multiply
    191,319x = 242,584.50 × 242,584.50
  4. Step 4: Simplify right side
    191,319x = 58,847,239,640.25
  5. Step 5: Solve for x
    x = 58,847,239,640.25/191,319
  6. Step 6: Final answer
    x = 307,587.01

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.