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Finding the Third Proportional to 153,010 and 223,642.50

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Solution

The third proportional to 153,010 and 223,642.50 is: 326,880.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,010 : 223,642.50 = 223,642.50 : x
  2. Step 2: Convert to fraction form
    153,010/223,642.50 = 223,642.50/x
  3. Step 3: Cross multiply
    153,010x = 223,642.50 × 223,642.50
  4. Step 4: Simplify right side
    153,010x = 50,015,967,806.25
  5. Step 5: Solve for x
    x = 50,015,967,806.25/153,010
  6. Step 6: Final answer
    x = 326,880.39

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.