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Finding the Third Proportional to 163,090 and 249,497

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Solution

The third proportional to 163,090 and 249,497 is: 381,683.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,090 : 249,497 = 249,497 : x
  2. Step 2: Convert to fraction form
    163,090/249,497 = 249,497/x
  3. Step 3: Cross multiply
    163,090x = 249,497 × 249,497
  4. Step 4: Simplify right side
    163,090x = 62,248,753,009
  5. Step 5: Solve for x
    x = 62,248,753,009/163,090
  6. Step 6: Final answer
    x = 381,683.44

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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.