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Finding the Third Proportional to 147,769 and 228,581

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Solution

The third proportional to 147,769 and 228,581 is: 353,587.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,769 : 228,581 = 228,581 : x
  2. Step 2: Convert to fraction form
    147,769/228,581 = 228,581/x
  3. Step 3: Cross multiply
    147,769x = 228,581 × 228,581
  4. Step 4: Simplify right side
    147,769x = 52,249,273,561
  5. Step 5: Solve for x
    x = 52,249,273,561/147,769
  6. Step 6: Final answer
    x = 353,587.52

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.