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Finding the Third Proportional to 249,908.63 and 356,165.44

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Solution

The third proportional to 249,908.63 and 356,165.44 is: 507,600.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,908.63 : 356,165.44 = 356,165.44 : x
  2. Step 2: Convert to fraction form
    249,908.63/356,165.44 = 356,165.44/x
  3. Step 3: Cross multiply
    249,908.63x = 356,165.44 × 356,165.44
  4. Step 4: Simplify right side
    249,908.63x = 126,853,818,869.57
  5. Step 5: Solve for x
    x = 126,853,818,869.57/249,908.63
  6. Step 6: Final answer
    x = 507,600.80

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Why These Related Problems?

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