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Finding the Third Proportional to 249,907.50 and 356,163.75

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Solution

The third proportional to 249,907.50 and 356,163.75 is: 507,598.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,907.50 : 356,163.75 = 356,163.75 : x
  2. Step 2: Convert to fraction form
    249,907.50/356,163.75 = 356,163.75/x
  3. Step 3: Cross multiply
    249,907.50x = 356,163.75 × 356,163.75
  4. Step 4: Simplify right side
    249,907.50x = 126,852,616,814.06
  5. Step 5: Solve for x
    x = 126,852,616,814.06/249,907.50
  6. Step 6: Final answer
    x = 507,598.28

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.