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Finding the Third Proportional to 163,882 and 249,242

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Solution

The third proportional to 163,882 and 249,242 is: 379,062.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,882 : 249,242 = 249,242 : x
  2. Step 2: Convert to fraction form
    163,882/249,242 = 249,242/x
  3. Step 3: Cross multiply
    163,882x = 249,242 × 249,242
  4. Step 4: Simplify right side
    163,882x = 62,121,574,564
  5. Step 5: Solve for x
    x = 62,121,574,564/163,882
  6. Step 6: Final answer
    x = 379,062.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.