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Finding the Third Proportional to 210,146.50 and 456,014

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Solution

The third proportional to 210,146.50 and 456,014 is: 989,541.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,146.50 : 456,014 = 456,014 : x
  2. Step 2: Convert to fraction form
    210,146.50/456,014 = 456,014/x
  3. Step 3: Cross multiply
    210,146.50x = 456,014 × 456,014
  4. Step 4: Simplify right side
    210,146.50x = 207,948,768,196
  5. Step 5: Solve for x
    x = 207,948,768,196/210,146.50
  6. Step 6: Final answer
    x = 989,541.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.