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Finding the Third Proportional to 191,313 and 242,575.50

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Solution

The third proportional to 191,313 and 242,575.50 is: 307,573.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,313 : 242,575.50 = 242,575.50 : x
  2. Step 2: Convert to fraction form
    191,313/242,575.50 = 242,575.50/x
  3. Step 3: Cross multiply
    191,313x = 242,575.50 × 242,575.50
  4. Step 4: Simplify right side
    191,313x = 58,842,873,200.25
  5. Step 5: Solve for x
    x = 58,842,873,200.25/191,313
  6. Step 6: Final answer
    x = 307,573.84

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