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Finding the Third Proportional to 281,950.50 and 608,230.50

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Solution

The third proportional to 281,950.50 and 608,230.50 is: 1,312,089.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,950.50 : 608,230.50 = 608,230.50 : x
  2. Step 2: Convert to fraction form
    281,950.50/608,230.50 = 608,230.50/x
  3. Step 3: Cross multiply
    281,950.50x = 608,230.50 × 608,230.50
  4. Step 4: Simplify right side
    281,950.50x = 369,944,341,130.25
  5. Step 5: Solve for x
    x = 369,944,341,130.25/281,950.50
  6. Step 6: Final answer
    x = 1,312,089.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.