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Finding the Third Proportional to 162,410 and 249,956

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Solution

The third proportional to 162,410 and 249,956 is: 384,693.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,410 : 249,956 = 249,956 : x
  2. Step 2: Convert to fraction form
    162,410/249,956 = 249,956/x
  3. Step 3: Cross multiply
    162,410x = 249,956 × 249,956
  4. Step 4: Simplify right side
    162,410x = 62,478,001,936
  5. Step 5: Solve for x
    x = 62,478,001,936/162,410
  6. Step 6: Final answer
    x = 384,693.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.