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Finding the Third Proportional to 149,547 and 213,301.50

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Solution

The third proportional to 149,547 and 213,301.50 is: 304,235.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,547 : 213,301.50 = 213,301.50 : x
  2. Step 2: Convert to fraction form
    149,547/213,301.50 = 213,301.50/x
  3. Step 3: Cross multiply
    149,547x = 213,301.50 × 213,301.50
  4. Step 4: Simplify right side
    149,547x = 45,497,529,902.25
  5. Step 5: Solve for x
    x = 45,497,529,902.25/149,547
  6. Step 6: Final answer
    x = 304,235.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.