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Finding the Third Proportional to 219,133.13 and 342,547.31

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Solution

The third proportional to 219,133.13 and 342,547.31 is: 535,467.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,133.13 : 342,547.31 = 342,547.31 : x
  2. Step 2: Convert to fraction form
    219,133.13/342,547.31 = 342,547.31/x
  3. Step 3: Cross multiply
    219,133.13x = 342,547.31 × 342,547.31
  4. Step 4: Simplify right side
    219,133.13x = 117,338,661,300.97
  5. Step 5: Solve for x
    x = 117,338,661,300.97/219,133.13
  6. Step 6: Final answer
    x = 535,467.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.