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Finding the Third Proportional to 210,060 and 460,937.25

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Solution

The third proportional to 210,060 and 460,937.25 is: 1,011,440.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,060 : 460,937.25 = 460,937.25 : x
  2. Step 2: Convert to fraction form
    210,060/460,937.25 = 460,937.25/x
  3. Step 3: Cross multiply
    210,060x = 460,937.25 × 460,937.25
  4. Step 4: Simplify right side
    210,060x = 212,463,148,437.56
  5. Step 5: Solve for x
    x = 212,463,148,437.56/210,060
  6. Step 6: Final answer
    x = 1,011,440.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.