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Finding the Third Proportional to 229,036.50 and 346,065.75

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Solution

The third proportional to 229,036.50 and 346,065.75 is: 522,892.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,036.50 : 346,065.75 = 346,065.75 : x
  2. Step 2: Convert to fraction form
    229,036.50/346,065.75 = 346,065.75/x
  3. Step 3: Cross multiply
    229,036.50x = 346,065.75 × 346,065.75
  4. Step 4: Simplify right side
    229,036.50x = 119,761,503,323.06
  5. Step 5: Solve for x
    x = 119,761,503,323.06/229,036.50
  6. Step 6: Final answer
    x = 522,892.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.