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Finding the Third Proportional to 164,224 and 358,784

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Solution

The third proportional to 164,224 and 358,784 is: 783,843.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,224 : 358,784 = 358,784 : x
  2. Step 2: Convert to fraction form
    164,224/358,784 = 358,784/x
  3. Step 3: Cross multiply
    164,224x = 358,784 × 358,784
  4. Step 4: Simplify right side
    164,224x = 128,725,958,656
  5. Step 5: Solve for x
    x = 128,725,958,656/164,224
  6. Step 6: Final answer
    x = 783,843.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.