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Finding the Third Proportional to 164,703.38 and 359,619.75

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Solution

The third proportional to 164,703.38 and 359,619.75 is: 785,207.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,703.38 : 359,619.75 = 359,619.75 : x
  2. Step 2: Convert to fraction form
    164,703.38/359,619.75 = 359,619.75/x
  3. Step 3: Cross multiply
    164,703.38x = 359,619.75 × 359,619.75
  4. Step 4: Simplify right side
    164,703.38x = 129,326,364,590.06
  5. Step 5: Solve for x
    x = 129,326,364,590.06/164,703.38
  6. Step 6: Final answer
    x = 785,207.74

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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.