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Finding the Third Proportional to 152,918.50 and 359,785.25

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Solution

The third proportional to 152,918.50 and 359,785.25 is: 846,499.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,918.50 : 359,785.25 = 359,785.25 : x
  2. Step 2: Convert to fraction form
    152,918.50/359,785.25 = 359,785.25/x
  3. Step 3: Cross multiply
    152,918.50x = 359,785.25 × 359,785.25
  4. Step 4: Simplify right side
    152,918.50x = 129,445,426,117.56
  5. Step 5: Solve for x
    x = 129,445,426,117.56/152,918.50
  6. Step 6: Final answer
    x = 846,499.45

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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.