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Finding the Third Proportional to 210,083 and 306,097.50

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Solution

The third proportional to 210,083 and 306,097.50 is: 445,993.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,083 : 306,097.50 = 306,097.50 : x
  2. Step 2: Convert to fraction form
    210,083/306,097.50 = 306,097.50/x
  3. Step 3: Cross multiply
    210,083x = 306,097.50 × 306,097.50
  4. Step 4: Simplify right side
    210,083x = 93,695,679,506.25
  5. Step 5: Solve for x
    x = 93,695,679,506.25/210,083
  6. Step 6: Final answer
    x = 445,993.63

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.