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Finding the Third Proportional to 249,785.25 and 380,935.13

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Solution

The third proportional to 249,785.25 and 380,935.13 is: 580,945.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,785.25 : 380,935.13 = 380,935.13 : x
  2. Step 2: Convert to fraction form
    249,785.25/380,935.13 = 380,935.13/x
  3. Step 3: Cross multiply
    249,785.25x = 380,935.13 × 380,935.13
  4. Step 4: Simplify right side
    249,785.25x = 145,111,569,458.77
  5. Step 5: Solve for x
    x = 145,111,569,458.77/249,785.25
  6. Step 6: Final answer
    x = 580,945.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.