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Finding the Third Proportional to 155,769 and 341,017.50

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Solution

The third proportional to 155,769 and 341,017.50 is: 746,573.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,769 : 341,017.50 = 341,017.50 : x
  2. Step 2: Convert to fraction form
    155,769/341,017.50 = 341,017.50/x
  3. Step 3: Cross multiply
    155,769x = 341,017.50 × 341,017.50
  4. Step 4: Simplify right side
    155,769x = 116,292,935,306.25
  5. Step 5: Solve for x
    x = 116,292,935,306.25/155,769
  6. Step 6: Final answer
    x = 746,573.04

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.