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Finding the Third Proportional to 116,979.19 and 174,688.31

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Solution

The third proportional to 116,979.19 and 174,688.31 is: 260,866.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,979.19 : 174,688.31 = 174,688.31 : x
  2. Step 2: Convert to fraction form
    116,979.19/174,688.31 = 174,688.31/x
  3. Step 3: Cross multiply
    116,979.19x = 174,688.31 × 174,688.31
  4. Step 4: Simplify right side
    116,979.19x = 30,516,006,524.10
  5. Step 5: Solve for x
    x = 30,516,006,524.10/116,979.19
  6. Step 6: Final answer
    x = 260,866.97

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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.