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Finding the Third Proportional to 148,316.91 and 307,148.20

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Solution

The third proportional to 148,316.91 and 307,148.20 is: 636,070.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,316.91 : 307,148.20 = 307,148.20 : x
  2. Step 2: Convert to fraction form
    148,316.91/307,148.20 = 307,148.20/x
  3. Step 3: Cross multiply
    148,316.91x = 307,148.20 × 307,148.20
  4. Step 4: Simplify right side
    148,316.91x = 94,340,018,682.92
  5. Step 5: Solve for x
    x = 94,340,018,682.92/148,316.91
  6. Step 6: Final answer
    x = 636,070.57

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.