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Finding the Third Proportional to 145,808 and 296,800

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Solution

The third proportional to 145,808 and 296,800 is: 604,152.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,808 : 296,800 = 296,800 : x
  2. Step 2: Convert to fraction form
    145,808/296,800 = 296,800/x
  3. Step 3: Cross multiply
    145,808x = 296,800 × 296,800
  4. Step 4: Simplify right side
    145,808x = 88,090,240,000
  5. Step 5: Solve for x
    x = 88,090,240,000/145,808
  6. Step 6: Final answer
    x = 604,152.31

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.