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Finding the Third Proportional to 170,405.81 and 369,210.97

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Solution

The third proportional to 170,405.81 and 369,210.97 is: 799,953.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,405.81 : 369,210.97 = 369,210.97 : x
  2. Step 2: Convert to fraction form
    170,405.81/369,210.97 = 369,210.97/x
  3. Step 3: Cross multiply
    170,405.81x = 369,210.97 × 369,210.97
  4. Step 4: Simplify right side
    170,405.81x = 136,316,742,329.77
  5. Step 5: Solve for x
    x = 136,316,742,329.77/170,405.81
  6. Step 6: Final answer
    x = 799,953.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.