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Finding the Third Proportional to 183,095 and 291,353

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Solution

The third proportional to 183,095 and 291,353 is: 463,620.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,095 : 291,353 = 291,353 : x
  2. Step 2: Convert to fraction form
    183,095/291,353 = 291,353/x
  3. Step 3: Cross multiply
    183,095x = 291,353 × 291,353
  4. Step 4: Simplify right side
    183,095x = 84,886,570,609
  5. Step 5: Solve for x
    x = 84,886,570,609/183,095
  6. Step 6: Final answer
    x = 463,620.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.