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Finding the Third Proportional to 181,606.50 and 358,555.50

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Solution

The third proportional to 181,606.50 and 358,555.50 is: 707,915.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,606.50 : 358,555.50 = 358,555.50 : x
  2. Step 2: Convert to fraction form
    181,606.50/358,555.50 = 358,555.50/x
  3. Step 3: Cross multiply
    181,606.50x = 358,555.50 × 358,555.50
  4. Step 4: Simplify right side
    181,606.50x = 128,562,046,580.25
  5. Step 5: Solve for x
    x = 128,562,046,580.25/181,606.50
  6. Step 6: Final answer
    x = 707,915.45

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.