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Finding the Third Proportional to 164,342 and 253,475

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Solution

The third proportional to 164,342 and 253,475 is: 390,950.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,342 : 253,475 = 253,475 : x
  2. Step 2: Convert to fraction form
    164,342/253,475 = 253,475/x
  3. Step 3: Cross multiply
    164,342x = 253,475 × 253,475
  4. Step 4: Simplify right side
    164,342x = 64,249,575,625
  5. Step 5: Solve for x
    x = 64,249,575,625/164,342
  6. Step 6: Final answer
    x = 390,950.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.