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Finding the Third Proportional to 236,316 and 363,235.50

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Solution

The third proportional to 236,316 and 363,235.50 is: 558,320.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,316 : 363,235.50 = 363,235.50 : x
  2. Step 2: Convert to fraction form
    236,316/363,235.50 = 363,235.50/x
  3. Step 3: Cross multiply
    236,316x = 363,235.50 × 363,235.50
  4. Step 4: Simplify right side
    236,316x = 131,940,028,460.25
  5. Step 5: Solve for x
    x = 131,940,028,460.25/236,316
  6. Step 6: Final answer
    x = 558,320.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.