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Finding the Third Proportional to 137,323 and 212,518.50

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Solution

The third proportional to 137,323 and 212,518.50 is: 328,889.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,323 : 212,518.50 = 212,518.50 : x
  2. Step 2: Convert to fraction form
    137,323/212,518.50 = 212,518.50/x
  3. Step 3: Cross multiply
    137,323x = 212,518.50 × 212,518.50
  4. Step 4: Simplify right side
    137,323x = 45,164,112,842.25
  5. Step 5: Solve for x
    x = 45,164,112,842.25/137,323
  6. Step 6: Final answer
    x = 328,889.65

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.