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Finding the Third Proportional to 185,762 and 307,338

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Solution

The third proportional to 185,762 and 307,338 is: 508,482.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,762 : 307,338 = 307,338 : x
  2. Step 2: Convert to fraction form
    185,762/307,338 = 307,338/x
  3. Step 3: Cross multiply
    185,762x = 307,338 × 307,338
  4. Step 4: Simplify right side
    185,762x = 94,456,646,244
  5. Step 5: Solve for x
    x = 94,456,646,244/185,762
  6. Step 6: Final answer
    x = 508,482.07

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.