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Finding the Third Proportional to 163,222 and 249,522

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Solution

The third proportional to 163,222 and 249,522 is: 381,451.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,222 : 249,522 = 249,522 : x
  2. Step 2: Convert to fraction form
    163,222/249,522 = 249,522/x
  3. Step 3: Cross multiply
    163,222x = 249,522 × 249,522
  4. Step 4: Simplify right side
    163,222x = 62,261,228,484
  5. Step 5: Solve for x
    x = 62,261,228,484/163,222
  6. Step 6: Final answer
    x = 381,451.20

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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.