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Finding the Third Proportional to 153,407.81 and 328,137.19

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Solution

The third proportional to 153,407.81 and 328,137.19 is: 701,880.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,407.81 : 328,137.19 = 328,137.19 : x
  2. Step 2: Convert to fraction form
    153,407.81/328,137.19 = 328,137.19/x
  3. Step 3: Cross multiply
    153,407.81x = 328,137.19 × 328,137.19
  4. Step 4: Simplify right side
    153,407.81x = 107,674,013,820.41
  5. Step 5: Solve for x
    x = 107,674,013,820.41/153,407.81
  6. Step 6: Final answer
    x = 701,880.90

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.