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Finding the Third Proportional to 147,430.13 and 322,462.69

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Solution

The third proportional to 147,430.13 and 322,462.69 is: 705,298.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,430.13 : 322,462.69 = 322,462.69 : x
  2. Step 2: Convert to fraction form
    147,430.13/322,462.69 = 322,462.69/x
  3. Step 3: Cross multiply
    147,430.13x = 322,462.69 × 322,462.69
  4. Step 4: Simplify right side
    147,430.13x = 103,982,184,829.72
  5. Step 5: Solve for x
    x = 103,982,184,829.72/147,430.13
  6. Step 6: Final answer
    x = 705,298.08

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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.