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Finding the Third Proportional to 153,274.68 and 358,004.81

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Solution

The third proportional to 153,274.68 and 358,004.81 is: 836,194.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,274.68 : 358,004.81 = 358,004.81 : x
  2. Step 2: Convert to fraction form
    153,274.68/358,004.81 = 358,004.81/x
  3. Step 3: Cross multiply
    153,274.68x = 358,004.81 × 358,004.81
  4. Step 4: Simplify right side
    153,274.68x = 128,167,445,773.16
  5. Step 5: Solve for x
    x = 128,167,445,773.16/153,274.68
  6. Step 6: Final answer
    x = 836,194.53

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.