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Finding the Third Proportional to 145,597 and 219,421.50

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Solution

The third proportional to 145,597 and 219,421.50 is: 330,678.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,597 : 219,421.50 = 219,421.50 : x
  2. Step 2: Convert to fraction form
    145,597/219,421.50 = 219,421.50/x
  3. Step 3: Cross multiply
    145,597x = 219,421.50 × 219,421.50
  4. Step 4: Simplify right side
    145,597x = 48,145,794,662.25
  5. Step 5: Solve for x
    x = 48,145,794,662.25/145,597
  6. Step 6: Final answer
    x = 330,678.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.