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Finding the Third Proportional to 153,334.50 and 358,162

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Solution

The third proportional to 153,334.50 and 358,162 is: 836,602.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,334.50 : 358,162 = 358,162 : x
  2. Step 2: Convert to fraction form
    153,334.50/358,162 = 358,162/x
  3. Step 3: Cross multiply
    153,334.50x = 358,162 × 358,162
  4. Step 4: Simplify right side
    153,334.50x = 128,280,018,244
  5. Step 5: Solve for x
    x = 128,280,018,244/153,334.50
  6. Step 6: Final answer
    x = 836,602.45

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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.