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Finding the Third Proportional to 141,277.69 and 211,916.81

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Solution

The third proportional to 141,277.69 and 211,916.81 is: 317,875.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,277.69 : 211,916.81 = 211,916.81 : x
  2. Step 2: Convert to fraction form
    141,277.69/211,916.81 = 211,916.81/x
  3. Step 3: Cross multiply
    141,277.69x = 211,916.81 × 211,916.81
  4. Step 4: Simplify right side
    141,277.69x = 44,908,735,420.16
  5. Step 5: Solve for x
    x = 44,908,735,420.16/141,277.69
  6. Step 6: Final answer
    x = 317,875.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.