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Finding the Third Proportional to 164,562 and 358,858

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Solution

The third proportional to 164,562 and 358,858 is: 782,556.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,562 : 358,858 = 358,858 : x
  2. Step 2: Convert to fraction form
    164,562/358,858 = 358,858/x
  3. Step 3: Cross multiply
    164,562x = 358,858 × 358,858
  4. Step 4: Simplify right side
    164,562x = 128,779,064,164
  5. Step 5: Solve for x
    x = 128,779,064,164/164,562
  6. Step 6: Final answer
    x = 782,556.51

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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.