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Finding the Third Proportional to 164,403 and 358,594

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Solution

The third proportional to 164,403 and 358,594 is: 782,161.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,403 : 358,594 = 358,594 : x
  2. Step 2: Convert to fraction form
    164,403/358,594 = 358,594/x
  3. Step 3: Cross multiply
    164,403x = 358,594 × 358,594
  4. Step 4: Simplify right side
    164,403x = 128,589,656,836
  5. Step 5: Solve for x
    x = 128,589,656,836/164,403
  6. Step 6: Final answer
    x = 782,161.26

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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.