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Finding the Third Proportional to 163,177 and 249,594

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Solution

The third proportional to 163,177 and 249,594 is: 381,776.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,177 : 249,594 = 249,594 : x
  2. Step 2: Convert to fraction form
    163,177/249,594 = 249,594/x
  3. Step 3: Cross multiply
    163,177x = 249,594 × 249,594
  4. Step 4: Simplify right side
    163,177x = 62,297,164,836
  5. Step 5: Solve for x
    x = 62,297,164,836/163,177
  6. Step 6: Final answer
    x = 381,776.63

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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.