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Finding the Third Proportional to 164,017.50 and 353,190

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Solution

The third proportional to 164,017.50 and 353,190 is: 760,547.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,017.50 : 353,190 = 353,190 : x
  2. Step 2: Convert to fraction form
    164,017.50/353,190 = 353,190/x
  3. Step 3: Cross multiply
    164,017.50x = 353,190 × 353,190
  4. Step 4: Simplify right side
    164,017.50x = 124,743,176,100
  5. Step 5: Solve for x
    x = 124,743,176,100/164,017.50
  6. Step 6: Final answer
    x = 760,547.97

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.