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Finding the Third Proportional to 193,509 and 455,332.50

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Solution

The third proportional to 193,509 and 455,332.50 is: 1,071,411.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,509 : 455,332.50 = 455,332.50 : x
  2. Step 2: Convert to fraction form
    193,509/455,332.50 = 455,332.50/x
  3. Step 3: Cross multiply
    193,509x = 455,332.50 × 455,332.50
  4. Step 4: Simplify right side
    193,509x = 207,327,685,556.25
  5. Step 5: Solve for x
    x = 207,327,685,556.25/193,509
  6. Step 6: Final answer
    x = 1,071,411.07

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.