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Finding the Third Proportional to 163,484 and 249,978

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Solution

The third proportional to 163,484 and 249,978 is: 382,233.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,484 : 249,978 = 249,978 : x
  2. Step 2: Convert to fraction form
    163,484/249,978 = 249,978/x
  3. Step 3: Cross multiply
    163,484x = 249,978 × 249,978
  4. Step 4: Simplify right side
    163,484x = 62,489,000,484
  5. Step 5: Solve for x
    x = 62,489,000,484/163,484
  6. Step 6: Final answer
    x = 382,233.13

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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.