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Finding the Third Proportional to 180,657.84 and 237,616.03

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Solution

The third proportional to 180,657.84 and 237,616.03 is: 312,532.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,657.84 : 237,616.03 = 237,616.03 : x
  2. Step 2: Convert to fraction form
    180,657.84/237,616.03 = 237,616.03/x
  3. Step 3: Cross multiply
    180,657.84x = 237,616.03 × 237,616.03
  4. Step 4: Simplify right side
    180,657.84x = 56,461,378,307.00
  5. Step 5: Solve for x
    x = 56,461,378,307.00/180,657.84
  6. Step 6: Final answer
    x = 312,532.12

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.