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Finding the Third Proportional to 236,788 and 361,091

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Solution

The third proportional to 236,788 and 361,091 is: 550,647.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,788 : 361,091 = 361,091 : x
  2. Step 2: Convert to fraction form
    236,788/361,091 = 361,091/x
  3. Step 3: Cross multiply
    236,788x = 361,091 × 361,091
  4. Step 4: Simplify right side
    236,788x = 130,386,710,281
  5. Step 5: Solve for x
    x = 130,386,710,281/236,788
  6. Step 6: Final answer
    x = 550,647.46

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.