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Finding the Third Proportional to 210,898.69 and 300,565.69

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Solution

The third proportional to 210,898.69 and 300,565.69 is: 428,356.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,898.69 : 300,565.69 = 300,565.69 : x
  2. Step 2: Convert to fraction form
    210,898.69/300,565.69 = 300,565.69/x
  3. Step 3: Cross multiply
    210,898.69x = 300,565.69 × 300,565.69
  4. Step 4: Simplify right side
    210,898.69x = 90,339,732,502.35
  5. Step 5: Solve for x
    x = 90,339,732,502.35/210,898.69
  6. Step 6: Final answer
    x = 428,356.07

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.