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Finding the Third Proportional to 202,864 and 296,784

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Solution

The third proportional to 202,864 and 296,784 is: 434,186.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,864 : 296,784 = 296,784 : x
  2. Step 2: Convert to fraction form
    202,864/296,784 = 296,784/x
  3. Step 3: Cross multiply
    202,864x = 296,784 × 296,784
  4. Step 4: Simplify right side
    202,864x = 88,080,742,656
  5. Step 5: Solve for x
    x = 88,080,742,656/202,864
  6. Step 6: Final answer
    x = 434,186.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.