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Finding the Third Proportional to 205,594 and 307,547

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Solution

The third proportional to 205,594 and 307,547 is: 460,057.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,594 : 307,547 = 307,547 : x
  2. Step 2: Convert to fraction form
    205,594/307,547 = 307,547/x
  3. Step 3: Cross multiply
    205,594x = 307,547 × 307,547
  4. Step 4: Simplify right side
    205,594x = 94,585,157,209
  5. Step 5: Solve for x
    x = 94,585,157,209/205,594
  6. Step 6: Final answer
    x = 460,057.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.