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Finding the Third Proportional to 145,212 and 312,670.50

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Solution

The third proportional to 145,212 and 312,670.50 is: 673,242.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,212 : 312,670.50 = 312,670.50 : x
  2. Step 2: Convert to fraction form
    145,212/312,670.50 = 312,670.50/x
  3. Step 3: Cross multiply
    145,212x = 312,670.50 × 312,670.50
  4. Step 4: Simplify right side
    145,212x = 97,762,841,570.25
  5. Step 5: Solve for x
    x = 97,762,841,570.25/145,212
  6. Step 6: Final answer
    x = 673,242.17

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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.