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Finding the Third Proportional to 145,164 and 312,575

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Solution

The third proportional to 145,164 and 312,575 is: 673,053.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,164 : 312,575 = 312,575 : x
  2. Step 2: Convert to fraction form
    145,164/312,575 = 312,575/x
  3. Step 3: Cross multiply
    145,164x = 312,575 × 312,575
  4. Step 4: Simplify right side
    145,164x = 97,703,130,625
  5. Step 5: Solve for x
    x = 97,703,130,625/145,164
  6. Step 6: Final answer
    x = 673,053.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.