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Finding the Third Proportional to 183,952 and 403,232

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Solution

The third proportional to 183,952 and 403,232 is: 883,904.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,952 : 403,232 = 403,232 : x
  2. Step 2: Convert to fraction form
    183,952/403,232 = 403,232/x
  3. Step 3: Cross multiply
    183,952x = 403,232 × 403,232
  4. Step 4: Simplify right side
    183,952x = 162,596,045,824
  5. Step 5: Solve for x
    x = 162,596,045,824/183,952
  6. Step 6: Final answer
    x = 883,904.75

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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.