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Finding the Third Proportional to 180,240.19 and 242,625.94

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Solution

The third proportional to 180,240.19 and 242,625.94 is: 326,605.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,240.19 : 242,625.94 = 242,625.94 : x
  2. Step 2: Convert to fraction form
    180,240.19/242,625.94 = 242,625.94/x
  3. Step 3: Cross multiply
    180,240.19x = 242,625.94 × 242,625.94
  4. Step 4: Simplify right side
    180,240.19x = 58,867,345,547.75
  5. Step 5: Solve for x
    x = 58,867,345,547.75/180,240.19
  6. Step 6: Final answer
    x = 326,605.00

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.