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Finding the Third Proportional to 163,464 and 249,948

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Solution

The third proportional to 163,464 and 249,948 is: 382,188.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,464 : 249,948 = 249,948 : x
  2. Step 2: Convert to fraction form
    163,464/249,948 = 249,948/x
  3. Step 3: Cross multiply
    163,464x = 249,948 × 249,948
  4. Step 4: Simplify right side
    163,464x = 62,474,002,704
  5. Step 5: Solve for x
    x = 62,474,002,704/163,464
  6. Step 6: Final answer
    x = 382,188.14

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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.