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Finding the Third Proportional to 229,070 and 348,465

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Solution

The third proportional to 229,070 and 348,465 is: 530,090.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,070 : 348,465 = 348,465 : x
  2. Step 2: Convert to fraction form
    229,070/348,465 = 348,465/x
  3. Step 3: Cross multiply
    229,070x = 348,465 × 348,465
  4. Step 4: Simplify right side
    229,070x = 121,427,856,225
  5. Step 5: Solve for x
    x = 121,427,856,225/229,070
  6. Step 6: Final answer
    x = 530,090.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.