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Finding the Third Proportional to 117,004.50 and 176,333.63

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Solution

The third proportional to 117,004.50 and 176,333.63 is: 265,746.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,004.50 : 176,333.63 = 176,333.63 : x
  2. Step 2: Convert to fraction form
    117,004.50/176,333.63 = 176,333.63/x
  3. Step 3: Cross multiply
    117,004.50x = 176,333.63 × 176,333.63
  4. Step 4: Simplify right side
    117,004.50x = 31,093,547,305.64
  5. Step 5: Solve for x
    x = 31,093,547,305.64/117,004.50
  6. Step 6: Final answer
    x = 265,746.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.