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Finding the Third Proportional to 249,852 and 328,033.50

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Solution

The third proportional to 249,852 and 328,033.50 is: 430,678.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,852 : 328,033.50 = 328,033.50 : x
  2. Step 2: Convert to fraction form
    249,852/328,033.50 = 328,033.50/x
  3. Step 3: Cross multiply
    249,852x = 328,033.50 × 328,033.50
  4. Step 4: Simplify right side
    249,852x = 107,605,977,122.25
  5. Step 5: Solve for x
    x = 107,605,977,122.25/249,852
  6. Step 6: Final answer
    x = 430,678.87

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.