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Finding the Third Proportional to 164,341 and 253,473.50

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Solution

The third proportional to 164,341 and 253,473.50 is: 390,948.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,341 : 253,473.50 = 253,473.50 : x
  2. Step 2: Convert to fraction form
    164,341/253,473.50 = 253,473.50/x
  3. Step 3: Cross multiply
    164,341x = 253,473.50 × 253,473.50
  4. Step 4: Simplify right side
    164,341x = 64,248,815,202.25
  5. Step 5: Solve for x
    x = 64,248,815,202.25/164,341
  6. Step 6: Final answer
    x = 390,948.18

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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.