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Finding the Third Proportional to 164,304 and 354,840

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Solution

The third proportional to 164,304 and 354,840 is: 766,332.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,304 : 354,840 = 354,840 : x
  2. Step 2: Convert to fraction form
    164,304/354,840 = 354,840/x
  3. Step 3: Cross multiply
    164,304x = 354,840 × 354,840
  4. Step 4: Simplify right side
    164,304x = 125,911,425,600
  5. Step 5: Solve for x
    x = 125,911,425,600/164,304
  6. Step 6: Final answer
    x = 766,332.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.