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Finding the Third Proportional to 141,491.81 and 210,313.13

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Solution

The third proportional to 141,491.81 and 210,313.13 is: 312,608.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,491.81 : 210,313.13 = 210,313.13 : x
  2. Step 2: Convert to fraction form
    141,491.81/210,313.13 = 210,313.13/x
  3. Step 3: Cross multiply
    141,491.81x = 210,313.13 × 210,313.13
  4. Step 4: Simplify right side
    141,491.81x = 44,231,610,547.27
  5. Step 5: Solve for x
    x = 44,231,610,547.27/141,491.81
  6. Step 6: Final answer
    x = 312,608.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.