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Finding the Third Proportional to 183,492 and 401,952

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Solution

The third proportional to 183,492 and 401,952 is: 880,503.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,492 : 401,952 = 401,952 : x
  2. Step 2: Convert to fraction form
    183,492/401,952 = 401,952/x
  3. Step 3: Cross multiply
    183,492x = 401,952 × 401,952
  4. Step 4: Simplify right side
    183,492x = 161,565,410,304
  5. Step 5: Solve for x
    x = 161,565,410,304/183,492
  6. Step 6: Final answer
    x = 880,503.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.