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Finding the Third Proportional to 160,170 and 249,944

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Solution

The third proportional to 160,170 and 249,944 is: 390,035.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,170 : 249,944 = 249,944 : x
  2. Step 2: Convert to fraction form
    160,170/249,944 = 249,944/x
  3. Step 3: Cross multiply
    160,170x = 249,944 × 249,944
  4. Step 4: Simplify right side
    160,170x = 62,472,003,136
  5. Step 5: Solve for x
    x = 62,472,003,136/160,170
  6. Step 6: Final answer
    x = 390,035.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.