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Finding the Third Proportional to 242,148 and 364,086

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Solution

The third proportional to 242,148 and 364,086 is: 547,428.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,148 : 364,086 = 364,086 : x
  2. Step 2: Convert to fraction form
    242,148/364,086 = 364,086/x
  3. Step 3: Cross multiply
    242,148x = 364,086 × 364,086
  4. Step 4: Simplify right side
    242,148x = 132,558,615,396
  5. Step 5: Solve for x
    x = 132,558,615,396/242,148
  6. Step 6: Final answer
    x = 547,428.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.