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Finding the Third Proportional to 164,493 and 358,730

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Solution

The third proportional to 164,493 and 358,730 is: 782,326.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,493 : 358,730 = 358,730 : x
  2. Step 2: Convert to fraction form
    164,493/358,730 = 358,730/x
  3. Step 3: Cross multiply
    164,493x = 358,730 × 358,730
  4. Step 4: Simplify right side
    164,493x = 128,687,212,900
  5. Step 5: Solve for x
    x = 128,687,212,900/164,493
  6. Step 6: Final answer
    x = 782,326.38

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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.