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Finding the Third Proportional to 102,312 and 217,741.50

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Solution

The third proportional to 102,312 and 217,741.50 is: 463,399.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,312 : 217,741.50 = 217,741.50 : x
  2. Step 2: Convert to fraction form
    102,312/217,741.50 = 217,741.50/x
  3. Step 3: Cross multiply
    102,312x = 217,741.50 × 217,741.50
  4. Step 4: Simplify right side
    102,312x = 47,411,360,822.25
  5. Step 5: Solve for x
    x = 47,411,360,822.25/102,312
  6. Step 6: Final answer
    x = 463,399.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.