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Finding the Third Proportional to 170,290 and 358,222

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Solution

The third proportional to 170,290 and 358,222 is: 753,555.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,290 : 358,222 = 358,222 : x
  2. Step 2: Convert to fraction form
    170,290/358,222 = 358,222/x
  3. Step 3: Cross multiply
    170,290x = 358,222 × 358,222
  4. Step 4: Simplify right side
    170,290x = 128,323,001,284
  5. Step 5: Solve for x
    x = 128,323,001,284/170,290
  6. Step 6: Final answer
    x = 753,555.71

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.