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Finding the Third Proportional to 235,004.63 and 358,014.94

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Solution

The third proportional to 235,004.63 and 358,014.94 is: 545,413.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,004.63 : 358,014.94 = 358,014.94 : x
  2. Step 2: Convert to fraction form
    235,004.63/358,014.94 = 358,014.94/x
  3. Step 3: Cross multiply
    235,004.63x = 358,014.94 × 358,014.94
  4. Step 4: Simplify right side
    235,004.63x = 128,174,695,473.13
  5. Step 5: Solve for x
    x = 128,174,695,473.13/235,004.63
  6. Step 6: Final answer
    x = 545,413.50

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.