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Finding the Third Proportional to 207,258 and 316,900.50

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Solution

The third proportional to 207,258 and 316,900.50 is: 484,545.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,258 : 316,900.50 = 316,900.50 : x
  2. Step 2: Convert to fraction form
    207,258/316,900.50 = 316,900.50/x
  3. Step 3: Cross multiply
    207,258x = 316,900.50 × 316,900.50
  4. Step 4: Simplify right side
    207,258x = 100,425,926,900.25
  5. Step 5: Solve for x
    x = 100,425,926,900.25/207,258
  6. Step 6: Final answer
    x = 484,545.48

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.