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Finding the Third Proportional to 148,536.25 and 320,746.25

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Solution

The third proportional to 148,536.25 and 320,746.25 is: 692,613.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,536.25 : 320,746.25 = 320,746.25 : x
  2. Step 2: Convert to fraction form
    148,536.25/320,746.25 = 320,746.25/x
  3. Step 3: Cross multiply
    148,536.25x = 320,746.25 × 320,746.25
  4. Step 4: Simplify right side
    148,536.25x = 102,878,156,889.06
  5. Step 5: Solve for x
    x = 102,878,156,889.06/148,536.25
  6. Step 6: Final answer
    x = 692,613.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.