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Finding the Third Proportional to 191,656 and 295,480

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Solution

The third proportional to 191,656 and 295,480 is: 455,547.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,656 : 295,480 = 295,480 : x
  2. Step 2: Convert to fraction form
    191,656/295,480 = 295,480/x
  3. Step 3: Cross multiply
    191,656x = 295,480 × 295,480
  4. Step 4: Simplify right side
    191,656x = 87,308,430,400
  5. Step 5: Solve for x
    x = 87,308,430,400/191,656
  6. Step 6: Final answer
    x = 455,547.60

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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.