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Finding the Third Proportional to 153,820 and 340,809.50

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Solution

The third proportional to 153,820 and 340,809.50 is: 755,110.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,820 : 340,809.50 = 340,809.50 : x
  2. Step 2: Convert to fraction form
    153,820/340,809.50 = 340,809.50/x
  3. Step 3: Cross multiply
    153,820x = 340,809.50 × 340,809.50
  4. Step 4: Simplify right side
    153,820x = 116,151,115,290.25
  5. Step 5: Solve for x
    x = 116,151,115,290.25/153,820
  6. Step 6: Final answer
    x = 755,110.62

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.