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Finding the Third Proportional to 184,358 and 390,316

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Solution

The third proportional to 184,358 and 390,316 is: 826,362.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,358 : 390,316 = 390,316 : x
  2. Step 2: Convert to fraction form
    184,358/390,316 = 390,316/x
  3. Step 3: Cross multiply
    184,358x = 390,316 × 390,316
  4. Step 4: Simplify right side
    184,358x = 152,346,579,856
  5. Step 5: Solve for x
    x = 152,346,579,856/184,358
  6. Step 6: Final answer
    x = 826,362.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.