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Finding the Third Proportional to 210,423 and 317,821.50

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Solution

The third proportional to 210,423 and 317,821.50 is: 480,035.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,423 : 317,821.50 = 317,821.50 : x
  2. Step 2: Convert to fraction form
    210,423/317,821.50 = 317,821.50/x
  3. Step 3: Cross multiply
    210,423x = 317,821.50 × 317,821.50
  4. Step 4: Simplify right side
    210,423x = 101,010,505,862.25
  5. Step 5: Solve for x
    x = 101,010,505,862.25/210,423
  6. Step 6: Final answer
    x = 480,035.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.