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Finding the Third Proportional to 249,953.25 and 356,223.94

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Solution

The third proportional to 249,953.25 and 356,223.94 is: 507,676.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,953.25 : 356,223.94 = 356,223.94 : x
  2. Step 2: Convert to fraction form
    249,953.25/356,223.94 = 356,223.94/x
  3. Step 3: Cross multiply
    249,953.25x = 356,223.94 × 356,223.94
  4. Step 4: Simplify right side
    249,953.25x = 126,895,493,648.00
  5. Step 5: Solve for x
    x = 126,895,493,648.00/249,953.25
  6. Step 6: Final answer
    x = 507,676.91

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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.