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Finding the Third Proportional to 183,468 and 291,878.50

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Solution

The third proportional to 183,468 and 291,878.50 is: 464,348.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,468 : 291,878.50 = 291,878.50 : x
  2. Step 2: Convert to fraction form
    183,468/291,878.50 = 291,878.50/x
  3. Step 3: Cross multiply
    183,468x = 291,878.50 × 291,878.50
  4. Step 4: Simplify right side
    183,468x = 85,193,058,762.25
  5. Step 5: Solve for x
    x = 85,193,058,762.25/183,468
  6. Step 6: Final answer
    x = 464,348.33

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