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Finding the Third Proportional to 200,126.50 and 304,316

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Solution

The third proportional to 200,126.50 and 304,316 is: 462,748.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,126.50 : 304,316 = 304,316 : x
  2. Step 2: Convert to fraction form
    200,126.50/304,316 = 304,316/x
  3. Step 3: Cross multiply
    200,126.50x = 304,316 × 304,316
  4. Step 4: Simplify right side
    200,126.50x = 92,608,227,856
  5. Step 5: Solve for x
    x = 92,608,227,856/200,126.50
  6. Step 6: Final answer
    x = 462,748.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.