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Finding the Third Proportional to 229,541.63 and 322,673.06

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Solution

The third proportional to 229,541.63 and 322,673.06 is: 453,590.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,541.63 : 322,673.06 = 322,673.06 : x
  2. Step 2: Convert to fraction form
    229,541.63/322,673.06 = 322,673.06/x
  3. Step 3: Cross multiply
    229,541.63x = 322,673.06 × 322,673.06
  4. Step 4: Simplify right side
    229,541.63x = 104,117,905,263.13
  5. Step 5: Solve for x
    x = 104,117,905,263.13/229,541.63
  6. Step 6: Final answer
    x = 453,590.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.