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Finding the Third Proportional to 164,982.94 and 249,319.69

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Solution

The third proportional to 164,982.94 and 249,319.69 is: 376,768.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,982.94 : 249,319.69 = 249,319.69 : x
  2. Step 2: Convert to fraction form
    164,982.94/249,319.69 = 249,319.69/x
  3. Step 3: Cross multiply
    164,982.94x = 249,319.69 × 249,319.69
  4. Step 4: Simplify right side
    164,982.94x = 62,160,306,575.10
  5. Step 5: Solve for x
    x = 62,160,306,575.10/164,982.94
  6. Step 6: Final answer
    x = 376,768.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.