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Finding the Third Proportional to 170,830 and 249,660

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Solution

The third proportional to 170,830 and 249,660 is: 364,866.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,830 : 249,660 = 249,660 : x
  2. Step 2: Convert to fraction form
    170,830/249,660 = 249,660/x
  3. Step 3: Cross multiply
    170,830x = 249,660 × 249,660
  4. Step 4: Simplify right side
    170,830x = 62,330,115,600
  5. Step 5: Solve for x
    x = 62,330,115,600/170,830
  6. Step 6: Final answer
    x = 364,866.33

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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.