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Finding the Third Proportional to 117,703.50 and 257,265

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Solution

The third proportional to 117,703.50 and 257,265 is: 562,305.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,703.50 : 257,265 = 257,265 : x
  2. Step 2: Convert to fraction form
    117,703.50/257,265 = 257,265/x
  3. Step 3: Cross multiply
    117,703.50x = 257,265 × 257,265
  4. Step 4: Simplify right side
    117,703.50x = 66,185,280,225
  5. Step 5: Solve for x
    x = 66,185,280,225/117,703.50
  6. Step 6: Final answer
    x = 562,305.12

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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.