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Finding the Third Proportional to 215,490 and 341,050.50

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Solution

The third proportional to 215,490 and 341,050.50 is: 539,771.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,490 : 341,050.50 = 341,050.50 : x
  2. Step 2: Convert to fraction form
    215,490/341,050.50 = 341,050.50/x
  3. Step 3: Cross multiply
    215,490x = 341,050.50 × 341,050.50
  4. Step 4: Simplify right side
    215,490x = 116,315,443,550.25
  5. Step 5: Solve for x
    x = 116,315,443,550.25/215,490
  6. Step 6: Final answer
    x = 539,771.89

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.