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Finding the Third Proportional to 147,810 and 335,077.50

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Solution

The third proportional to 147,810 and 335,077.50 is: 759,603.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,810 : 335,077.50 = 335,077.50 : x
  2. Step 2: Convert to fraction form
    147,810/335,077.50 = 335,077.50/x
  3. Step 3: Cross multiply
    147,810x = 335,077.50 × 335,077.50
  4. Step 4: Simplify right side
    147,810x = 112,276,931,006.25
  5. Step 5: Solve for x
    x = 112,276,931,006.25/147,810
  6. Step 6: Final answer
    x = 759,603.08

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These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.