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Finding the Third Proportional to 183,232 and 403,237

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Solution

The third proportional to 183,232 and 403,237 is: 887,400.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,232 : 403,237 = 403,237 : x
  2. Step 2: Convert to fraction form
    183,232/403,237 = 403,237/x
  3. Step 3: Cross multiply
    183,232x = 403,237 × 403,237
  4. Step 4: Simplify right side
    183,232x = 162,600,078,169
  5. Step 5: Solve for x
    x = 162,600,078,169/183,232
  6. Step 6: Final answer
    x = 887,400.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.