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Finding the Third Proportional to 233,169.75 and 370,779.75

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Solution

The third proportional to 233,169.75 and 370,779.75 is: 589,603.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,169.75 : 370,779.75 = 370,779.75 : x
  2. Step 2: Convert to fraction form
    233,169.75/370,779.75 = 370,779.75/x
  3. Step 3: Cross multiply
    233,169.75x = 370,779.75 × 370,779.75
  4. Step 4: Simplify right side
    233,169.75x = 137,477,623,010.06
  5. Step 5: Solve for x
    x = 137,477,623,010.06/233,169.75
  6. Step 6: Final answer
    x = 589,603.17

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.