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Finding the Third Proportional to 117,905 and 254,570

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Solution

The third proportional to 117,905 and 254,570 is: 549,644.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,905 : 254,570 = 254,570 : x
  2. Step 2: Convert to fraction form
    117,905/254,570 = 254,570/x
  3. Step 3: Cross multiply
    117,905x = 254,570 × 254,570
  4. Step 4: Simplify right side
    117,905x = 64,805,884,900
  5. Step 5: Solve for x
    x = 64,805,884,900/117,905
  6. Step 6: Final answer
    x = 549,644.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.