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Finding the Third Proportional to 205,603.63 and 306,701.12

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Solution

The third proportional to 205,603.63 and 306,701.12 is: 457,509.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,603.63 : 306,701.12 = 306,701.12 : x
  2. Step 2: Convert to fraction form
    205,603.63/306,701.12 = 306,701.12/x
  3. Step 3: Cross multiply
    205,603.63x = 306,701.12 × 306,701.12
  4. Step 4: Simplify right side
    205,603.63x = 94,065,577,680.16
  5. Step 5: Solve for x
    x = 94,065,577,680.16/205,603.63
  6. Step 6: Final answer
    x = 457,509.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.