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Finding the Third Proportional to 216,594 and 348,961.50

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Solution

The third proportional to 216,594 and 348,961.50 is: 562,223.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,594 : 348,961.50 = 348,961.50 : x
  2. Step 2: Convert to fraction form
    216,594/348,961.50 = 348,961.50/x
  3. Step 3: Cross multiply
    216,594x = 348,961.50 × 348,961.50
  4. Step 4: Simplify right side
    216,594x = 121,774,128,482.25
  5. Step 5: Solve for x
    x = 121,774,128,482.25/216,594
  6. Step 6: Final answer
    x = 562,223.00

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.