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Finding the Third Proportional to 239,205 and 370,384

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Solution

The third proportional to 239,205 and 370,384 is: 573,501.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,205 : 370,384 = 370,384 : x
  2. Step 2: Convert to fraction form
    239,205/370,384 = 370,384/x
  3. Step 3: Cross multiply
    239,205x = 370,384 × 370,384
  4. Step 4: Simplify right side
    239,205x = 137,184,307,456
  5. Step 5: Solve for x
    x = 137,184,307,456/239,205
  6. Step 6: Final answer
    x = 573,501.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.