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Finding the Third Proportional to 153,333.50 and 358,159.50

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Solution

The third proportional to 153,333.50 and 358,159.50 is: 836,596.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,333.50 : 358,159.50 = 358,159.50 : x
  2. Step 2: Convert to fraction form
    153,333.50/358,159.50 = 358,159.50/x
  3. Step 3: Cross multiply
    153,333.50x = 358,159.50 × 358,159.50
  4. Step 4: Simplify right side
    153,333.50x = 128,278,227,440.25
  5. Step 5: Solve for x
    x = 128,278,227,440.25/153,333.50
  6. Step 6: Final answer
    x = 836,596.23

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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.