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Finding the Third Proportional to 269,092.13 and 358,804.69

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Solution

The third proportional to 269,092.13 and 358,804.69 is: 478,426.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,092.13 : 358,804.69 = 358,804.69 : x
  2. Step 2: Convert to fraction form
    269,092.13/358,804.69 = 358,804.69/x
  3. Step 3: Cross multiply
    269,092.13x = 358,804.69 × 358,804.69
  4. Step 4: Simplify right side
    269,092.13x = 128,740,803,771.97
  5. Step 5: Solve for x
    x = 128,740,803,771.97/269,092.13
  6. Step 6: Final answer
    x = 478,426.50

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.