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Finding the Third Proportional to 163,968 and 249,354

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Solution

The third proportional to 163,968 and 249,354 is: 379,204.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,968 : 249,354 = 249,354 : x
  2. Step 2: Convert to fraction form
    163,968/249,354 = 249,354/x
  3. Step 3: Cross multiply
    163,968x = 249,354 × 249,354
  4. Step 4: Simplify right side
    163,968x = 62,177,417,316
  5. Step 5: Solve for x
    x = 62,177,417,316/163,968
  6. Step 6: Final answer
    x = 379,204.58

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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.