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Finding the Third Proportional to 292,130 and 462,180

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Solution

The third proportional to 292,130 and 462,180 is: 731,216.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,130 : 462,180 = 462,180 : x
  2. Step 2: Convert to fraction form
    292,130/462,180 = 462,180/x
  3. Step 3: Cross multiply
    292,130x = 462,180 × 462,180
  4. Step 4: Simplify right side
    292,130x = 213,610,352,400
  5. Step 5: Solve for x
    x = 213,610,352,400/292,130
  6. Step 6: Final answer
    x = 731,216.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.