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Finding the Third Proportional to 117,410.06 and 256,973.63

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Solution

The third proportional to 117,410.06 and 256,973.63 is: 562,434.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,410.06 : 256,973.63 = 256,973.63 : x
  2. Step 2: Convert to fraction form
    117,410.06/256,973.63 = 256,973.63/x
  3. Step 3: Cross multiply
    117,410.06x = 256,973.63 × 256,973.63
  4. Step 4: Simplify right side
    117,410.06x = 66,035,443,945.64
  5. Step 5: Solve for x
    x = 66,035,443,945.64/117,410.06
  6. Step 6: Final answer
    x = 562,434.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.