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Finding the Third Proportional to 163,274 and 249,774

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Solution

The third proportional to 163,274 and 249,774 is: 382,100.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,274 : 249,774 = 249,774 : x
  2. Step 2: Convert to fraction form
    163,274/249,774 = 249,774/x
  3. Step 3: Cross multiply
    163,274x = 249,774 × 249,774
  4. Step 4: Simplify right side
    163,274x = 62,387,051,076
  5. Step 5: Solve for x
    x = 62,387,051,076/163,274
  6. Step 6: Final answer
    x = 382,100.34

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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.