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Finding the Third Proportional to 241,202 and 354,581

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Solution

The third proportional to 241,202 and 354,581 is: 521,254.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,202 : 354,581 = 354,581 : x
  2. Step 2: Convert to fraction form
    241,202/354,581 = 354,581/x
  3. Step 3: Cross multiply
    241,202x = 354,581 × 354,581
  4. Step 4: Simplify right side
    241,202x = 125,727,685,561
  5. Step 5: Solve for x
    x = 125,727,685,561/241,202
  6. Step 6: Final answer
    x = 521,254.74

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.