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Finding the Third Proportional to 163,569.38 and 346,609.13

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Solution

The third proportional to 163,569.38 and 346,609.13 is: 734,476.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,569.38 : 346,609.13 = 346,609.13 : x
  2. Step 2: Convert to fraction form
    163,569.38/346,609.13 = 346,609.13/x
  3. Step 3: Cross multiply
    163,569.38x = 346,609.13 × 346,609.13
  4. Step 4: Simplify right side
    163,569.38x = 120,137,885,533.27
  5. Step 5: Solve for x
    x = 120,137,885,533.27/163,569.38
  6. Step 6: Final answer
    x = 734,476.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.