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Finding the Third Proportional to 164,164.13 and 359,467.13

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Solution

The third proportional to 164,164.13 and 359,467.13 is: 787,118.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,164.13 : 359,467.13 = 359,467.13 : x
  2. Step 2: Convert to fraction form
    164,164.13/359,467.13 = 359,467.13/x
  3. Step 3: Cross multiply
    164,164.13x = 359,467.13 × 359,467.13
  4. Step 4: Simplify right side
    164,164.13x = 129,216,613,955.77
  5. Step 5: Solve for x
    x = 129,216,613,955.77/164,164.13
  6. Step 6: Final answer
    x = 787,118.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.