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Finding the Third Proportional to 211,323 and 309,397.50

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Solution

The third proportional to 211,323 and 309,397.50 is: 452,988.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,323 : 309,397.50 = 309,397.50 : x
  2. Step 2: Convert to fraction form
    211,323/309,397.50 = 309,397.50/x
  3. Step 3: Cross multiply
    211,323x = 309,397.50 × 309,397.50
  4. Step 4: Simplify right side
    211,323x = 95,726,813,006.25
  5. Step 5: Solve for x
    x = 95,726,813,006.25/211,323
  6. Step 6: Final answer
    x = 452,988.14

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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.