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Finding the Third Proportional to 164,953.50 and 353,232

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Solution

The third proportional to 164,953.50 and 353,232 is: 756,412.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,953.50 : 353,232 = 353,232 : x
  2. Step 2: Convert to fraction form
    164,953.50/353,232 = 353,232/x
  3. Step 3: Cross multiply
    164,953.50x = 353,232 × 353,232
  4. Step 4: Simplify right side
    164,953.50x = 124,772,845,824
  5. Step 5: Solve for x
    x = 124,772,845,824/164,953.50
  6. Step 6: Final answer
    x = 756,412.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.