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Finding the Third Proportional to 229,070 and 349,527

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Solution

The third proportional to 229,070 and 349,527 is: 533,326.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,070 : 349,527 = 349,527 : x
  2. Step 2: Convert to fraction form
    229,070/349,527 = 349,527/x
  3. Step 3: Cross multiply
    229,070x = 349,527 × 349,527
  4. Step 4: Simplify right side
    229,070x = 122,169,123,729
  5. Step 5: Solve for x
    x = 122,169,123,729/229,070
  6. Step 6: Final answer
    x = 533,326.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.