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Finding the Third Proportional to 160,969 and 249,015

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Solution

The third proportional to 160,969 and 249,015 is: 385,219.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,969 : 249,015 = 249,015 : x
  2. Step 2: Convert to fraction form
    160,969/249,015 = 249,015/x
  3. Step 3: Cross multiply
    160,969x = 249,015 × 249,015
  4. Step 4: Simplify right side
    160,969x = 62,008,470,225
  5. Step 5: Solve for x
    x = 62,008,470,225/160,969
  6. Step 6: Final answer
    x = 385,219.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.