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Finding the Third Proportional to 172,130.63 and 372,862.13

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Solution

The third proportional to 172,130.63 and 372,862.13 is: 807,678.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,130.63 : 372,862.13 = 372,862.13 : x
  2. Step 2: Convert to fraction form
    172,130.63/372,862.13 = 372,862.13/x
  3. Step 3: Cross multiply
    172,130.63x = 372,862.13 × 372,862.13
  4. Step 4: Simplify right side
    172,130.63x = 139,026,164,259.52
  5. Step 5: Solve for x
    x = 139,026,164,259.52/172,130.63
  6. Step 6: Final answer
    x = 807,678.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.