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Finding the Third Proportional to 249,935.50 and 366,006

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Solution

The third proportional to 249,935.50 and 366,006 is: 535,979.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,935.50 : 366,006 = 366,006 : x
  2. Step 2: Convert to fraction form
    249,935.50/366,006 = 366,006/x
  3. Step 3: Cross multiply
    249,935.50x = 366,006 × 366,006
  4. Step 4: Simplify right side
    249,935.50x = 133,960,392,036
  5. Step 5: Solve for x
    x = 133,960,392,036/249,935.50
  6. Step 6: Final answer
    x = 535,979.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.