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Finding the Third Proportional to 136,506 and 295,209

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Solution

The third proportional to 136,506 and 295,209 is: 638,421.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,506 : 295,209 = 295,209 : x
  2. Step 2: Convert to fraction form
    136,506/295,209 = 295,209/x
  3. Step 3: Cross multiply
    136,506x = 295,209 × 295,209
  4. Step 4: Simplify right side
    136,506x = 87,148,353,681
  5. Step 5: Solve for x
    x = 87,148,353,681/136,506
  6. Step 6: Final answer
    x = 638,421.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.